मालवीय राष्ट्रीय प्रौद्योगिकी संस्थान जयपुर (राष्ट्रीय महत्व का संस्थान)
Malaviya National Institute of Technology Jaipur (An Institute of National Importance)
Department of Mathematics

36

Journal Publications

5

Conference Publications

1

Research Projects

8

PhD Research Supervised

7

Awards & Honours

Qualifications
  • Ph.D.(Mathematics) from University of Rajsathan(2006)
Research Interests

Bicomplex Analysis, Fractional Calculus, Mathematical Modeling.

Professional Background
  • Assistant Professor at Malaviya National Institute of Technology Jaipur [12 July 2013 - Present].

  • Complex Analysis
  • Fractional Calculus
  • Mathematics I
  • Mathematics II
  • Ordinary Differential Equations
  • Real Analysis

    2024
  • Ritu Agarwal, Pooja Airan and Ravi P. Agarwal, "Exploring the Landscape of Fractional-Order Models in Epidemiology: A Comparative Simulation Study" , Axioms (MDPI) Volume :13 / 1-55 / 2024 DOI: https://doi.org/10.3390/axioms13080545
  • Ritu Agarwal and Chhaya Midha, "Study and Mathematical Analysis of the Novel Fractional Bone Mineralization Model" , Journal of Computational Analysis and Applications (Eudoxus Press) Volume :33 / 289-310 / 2024 DOI: https://www.eudoxuspress.com/index.php/journal/issue/view/16/79
  • Gauri Shankar Paliwal, Ritu Agarwal, Beena Bundela, Jagdev Singh, "A class of analytic functions defined using fractional RuscheweyhGoyal derivative and its majorization properties" , Afrika Matematika (Springer Nature) Volume :35 / 20 / 2024 DOI: doi.org/10.1007/s13370-023-01161-6
  • Ritu Agarwal, Pooja Airan, Mohammad Sajid, "Numerical and graphical simulation of the non-linear fractional dynamical system of bone mineralization" , Mathematical Biosciences and Engineering (AIMS Press) Volume :21 / 5138-5163 / 2024 DOI: 10.3934/mbe.2024227
  • 2023
  • Agarwal Ritu, Junesang Choi, Naveen Kumar, and Rakesh K. Parmar, "Extensions of multiple Lauricella and Humberts confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties" , Bulletin of Korean Mathematical Society (Korean Mathematical Society) Volume :60 / 575-591 / 2023 DOI: http://dx.doi.org/10.1080/27690911.2022.2117913
  • Agarwal Ritu, Kumar N, Parmar RK, Purohit SD, "Some families of the general Mathieu-type series with associated properties and functional inequalities" , Mathematical Methods in Applied Sciences (Wiley Publications) Volume :45 / 2132-2150 / 2023 DOI: http://dx.doi.org/10.1002/mma.7913
  • 2022
  • Yadav, Mahaveer Prasad Agarwal, Ritu Purohit, Sunil Dutt Kumar, Devendra Suthar, Daya , "Groundwater flow in karstic aquifer: analytic solution of dual-porosity fractional model to simulate groundwater flow" , APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING (Taylor & Francis) Volume :30 / 598-608 / 2022 DOI: http://dx.doi.org/10.1080/27690911.2022.2117913
  • Agarwal, Ritu Kumar, Naveen Parmar, Rakesh K. Purohit, Sunil D., "Some families of the general Mathieu-type series with associated properties and functional inequalities" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES (Wiley) Volume :45 / 2132-2150 / 2022 DOI: http://dx.doi.org/10.1002/mma.7913","http://dx.doi.org/10.1002/mma.7913
  • 2021
  • Agarwal, Ritu Chandola, Ankita Mishra Pandey, Rupakshi Sooppy Nisar, Kottakkaran, "m-Parameter Mittag-Leffler function, its various properties, and relation with fractional calculus operators" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES (Wiley) Volume :44 / 5365-5384 / 2021 DOI: http://dx.doi.org/10.1002/mma.7115","http://dx.doi.org/10.1002/mma.7115
  • Parmar, Rakesh K. Agarwal, Ritu Kumar, Naveen Purohit, S. D., "Extended elliptic-type integrals with associated properties and Turan-type inequalities" , ADVANCES IN DIFFERENCE EQUATIONS (Springer ) Volume :2021 / / 2021 DOI: http://dx.doi.org/10.1186/s13662-021-03536-0
  • Agarwal, Ritu Kritika Purohit, Sunil Dutt Kumar, Devendra, "MATHEMATICAL MODELLING OF CYTOSOLIC CALCIUM CONCENTRATION DISTRIBUTION USING NON-LOCAL FRACTIONAL OPERATOR" , DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S (EBSCO ) Volume :14 / 3387-3399 / 2021 DOI: http://dx.doi.org/10.3934/dcdss.2021017
  • 2020
  • Agarwal, Ritu Jain, Sonal Agarwal, Ravi P. Baleanu, Dumitru, "Response: Commentary: A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel-Wright Function" , FRONTIERS IN PHYSICS (GENERAL COMMENTARY) Volume :8 / / 2020 DOI: http://dx.doi.org/10.3389/fphy.2020.00072","http://dx.doi.org/10.3389/fphy.2020.00072
  • Agarwal, Ritu Yadav, Mahaveer Prasad Baleanu, Dumitru Purohit, S. D., "Existence and uniqueness of miscible flow equation through porous media with a non singular fractional derivative" , AIMS MATHEMATICS (DSpace Repository) Volume :5 / 1062-1073 / 2020 DOI: http://dx.doi.org/10.3934/math.2020074","http://dx.doi.org/10.3934/math.2020074
  • 2019
  • Agarwal, Ritu Purohit, Sunil D. Kritika, "A mathematical fractional model with nonsingular kernel for thrombin receptor activation in calcium" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES (Wiley Online Library) Volume :42 / 7160-7171 / 2019 DOI: http://dx.doi.org/10.1002/mma.5822","http://dx.doi.org/10.1002/mma.5822
  • Yadav, Mahaveer Prasad Agarwal, Ritu, "Numerical investigation of fractional-fractal Boussinesq equation" , CHAOS (AIP Publishing) Volume :29 / / 2019 DOI: http://dx.doi.org/10.1063/1.5080139","http://dx.doi.org/10.1063/1.5080139
  • 2018
  • Agarwal, Ritu Jain, Sonal Agarwal, Ravi P. Baleanu, Dumitru, "A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel-Wright Function" , FRONTIERS IN PHYSICS (General Commentary) Volume :6 / / 2018 DOI: http://dx.doi.org/10.3389/fphy.2018.00079","http://dx.doi.org/10.3389/fphy.2018.00079
  • 2017
  • Srivastava, Rekha Agarwal, Ritu Jain, Sonal, "A Family of the Incomplete Hypergeometric Functions and Associated Integral Transform and Fractional Derivative Formulas" , FILOMAT (JSTOR) Volume :31 / 125-140 / 2017 DOI: http://dx.doi.org/10.2298/FIL1701125S","http://dx.doi.org/10.2298/FIL1701125S
  • Srivastava, H. M.,Agarwal, Ritu, Jain, Sonal, "Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions" , MATHEMATICAL METHODS IN THE APPLIED SCIENCES (Wiley Online Library) Volume :40 / 255-273 / 2017 DOI: http://dx.doi.org/B20","http://dx.doi.org/Q2010.1002/mma.3986
  • Pathan, M. A. Agarwal, Ritu Jain, Sonal, "A UNIFIED STUDY OF ORTHOGONAL POLYNOMIALS VIA LIE ALGEBRA" , REPORTS ON MATHEMATICAL PHYSICS (Elsievier ) Volume :79 / / 2017 DOI: https://doi.org/10.1016/S0034-4877(17)30004-6
  • 2016
  • Agarwal, Ritu Jain, Sonal Agarwal, R. P., "Analytic solution of generalized space time advection-dispersion equation with fractional Laplace operator" , JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS (nonlinear sciences) Volume :9 / 0938-8974 / 2016 DOI: http://dx.doi.org/10.22436/jnsa.009.06.09","http://dx.doi.org/10.22436/jnsa.009.06.09
  • 2014
  • Agarwal Ritu and Goswami M.P. and Agarwal Ravi P., "Bicomplex version of Stieltjes transform and applications" , Dynamics of Continuous, Discrete and Impulsive Systems, Series B-Applications and Algorithms (DCDS S) Volume :21 / 229-246 / 2014 DOI: NA
  • H.S. Parihar and Ritu Agarwal, "A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator" , Proyecciones Journal of Mathematics (Universidad Catlica del Norte) Volume :33 / 189-204 / 2014 DOI: https://doi.org/10.4067/S0716-09172014000200005
  • 2013
  • Ritu Agarwal, "Sets of the generating functions for the polynomials having generalized Appells representation" , Mathematical Sciences International Research Journal (IMRF) Volume :2 / 9-12 / 2013 DOI: NA
  • Badole C. M., Nepal B., Agarwal Ritu, Rathore A. P. S., Jain Rakesh, "RFID Based Warehouse Management of Perishable Products" , IOSR Journal of Mechanical and Civil Engineering (IOSR) Volume :6 / 77-86 / 2013 DOI: NA
  • J. K. Prajapat and Ritu Agarwal, " Some Results on Certain Class of Analytic Functions Based on Differential Subordination" , Bulletin of Korean mathematical Society (Korean Mathematical Society) Volume :50 / 1-10 / 2013 DOI: DOI:10.4134/BKMS.2013.50.1.001
  • 2012
  • Ritu Agarwal and H. S. Parihar, "On certain generalized polynomial system associated with Humbert polynomials" , Scientia, Series A: Mathematical Sciences (Universidad Tcnica Federico Santa Mara) Volume :23 / 31-44 / 2012 DOI: NA
  • 2011
  • H. S. Parihar and Ritu Agarwal, "Application of generalized Ruscheweyh derivatives on p-valent functions" , Journal of Mathematics and Applications (Rzeszw University of Technology) Volume :34 / 75-86 / 2011 DOI: NA
  • 2007
  • S. P. Goyal and Ritu Goyal, "Sufficient Conditions for Starlike Multivalent Functions of Order $alpha$" , Journal of Indian Academy of Mathematics (Indian Academy of Mathematics) Volume :29 / 115-124 / 2007 DOI: NA
  • Ritu Goyal, "Bicomplex Polygamma Function" , Tokyo J Math (Tokyo J Math) Volume :30 / 523-530 / 2007 DOI: DOI: 10.3836/tjm/1202136693
  • 2006
  • S. P. Goyal and Ritu Goyal, "Bicomplex Hurwitz Zeta Function" , South East Asian Journal of Mathematics and Mathematical Sciences (Ramanujan Society of Mathematics and Mathematical Sciences) Volume :4 / 59-66 / 2006 DOI: NA
  • S.P. Goyal, Trilok Mathur and Ritu Goyal, "Bicomplex Gamma and Beta function" , Journal of Rajasthan Academy of Physical Sciences (RAOPS) Volume :5 / 131-142 / 2006 DOI: NA
  • 2005
  • S. P. Goyal and Ritu Goyal, "Integral Mean Inequalities for Generalized Fractional Derivatives of Some General Subclass of Multivalent Analytic Functions" , Tamsui Oxford Journal of Mathematical Sciences (Tamsui Oxford) Volume :21 / 171-182 / 2005 DOI: NA
  • S. P. Goyal and Ritu Goyal, "Evaluation of integrals $int_{0}^{2pi}exp (iax + b cos mx + c cos nx) dx$ and $int_{0}^{2pi}exp (iax + b sin mx + c cos nx) dx$ for $a, m, n in Z$ and $b, c in C$, $xin R$ in terms of mod" , Journal of Rajasthan Academy of Physical Sciences (RAOPS) Volume :4 / 147-156 / 2005 DOI: NA
  • S. P. Goyal and Ritu Goyal, "On a class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator" , Journal of Indian Academy of Mathematics (Indian Academy of Mathematics) Volume :27 / 439-456 / 2005 DOI: NA
  • 2004
  • S. P. Goyal and Ritu Goyal, "A General Theorem for the Generalized Weyl Fractional Integral Operator Involving the Multivariable H-Function" , Taiwanese Journal of mathematics (Mathematical Society of Republic of China) Volume :8 / 559-568 / 2004 DOI: DOI: 10.11650/twjm/1500407704
  • 2003
  • Ritu Goyal, "An Extension of a Class of Generating Functions" , Ultra Scientist of Physical Sciences (Ultra Scientist) Volume :15 / 289-292 / 2003 DOI: NA

    2024
  • Agarwal, R., Sharma, U.P., Agarwal, R.P., "Solution of Bicomplex Time Fractional Schrodinger Equation Involving Bicomplex Mittag-Leffler Function" , ICMMAAC 2023 by :Springer at Jaipur / 14-30 / 2024 ISBN: 978-3-031-56307-2
  • 2022
  • Agarwal, Ritu and Sharma, U.P., "Bicomplex Mittag-Leffler Function and Applications in Integral Transform and Fractional Calculus" , 22nd FAI International Conference by :Springer Singapore at Madurai, Tamilnadu / 157-167 / 2022 ISBN: 978-981-19-5181-7
  • 2013
  • Badole C.M., Rathore A.P.S., Nepal B., Jain R., Agarwal Ritu, "RFID and Perishable Product Supply Chain With Shortages" , ICRTES13 Organized by SPVRYAN by :Elsevier at Pune, India / 141-147 / 2013
  • 2012
  • Agarwal R. and Sokol J., " on Alpha-Convex Multivalent Functions Defined by Generalized Ruscheweyh Derivatives Involving Fractional Differential Operator" , Soft Computing and Problem Solving (SocPros-2012) by :Springer India at Jaipur / / 2012
  • Agarwal R. and Paliwal G.S., "On the Fekete-Szeg Problem for Certain Subclass of Analytic Functions" , Soft Computing and Problem Solving (SocPros-2012) by :Springer India at Jaipur / / 2012

  • Reference Book, "Mathematical Modeling and Soft Computing in Epidemiology" ISBN:9781003038399 published by - CRC Press Year: 2021 authors- Mishra J., Agarwal Ritu, Atangana A.
  • Reference Book, "Modeling Calcium Signaling: A Fractional Perspective" ISBN:978-981-97-1650-0 published by - Springer Singapore Year: 2024 authors- Agarwal Ritu, Purohit Sunil Dutt, Kritika

  • Book Chapter, "Solution of Bicomplex Time Fractional Schrdinger Equation Involving Bicomplex Mittag-Leffler function" ISBN:978-3-031-563065 published by - Springer Nature, Switzerland Year: 2024 authors- Agarwal Ritu, Sharma U. P., Agarwal Ravi P.
  • Book Chapter, "Mathematical analysis of the non-linear dynamics of bone mineralization" ISBN:978-0-443-28814-2 published by - Elsevier Inc. Year: 2024 authors- AGARWAL Ritu, POOJA AIRAN, AND CHHAYA MIDHA

Journal Name Publisher Role Duration
HeliyonElsevierEditorial Review Board Member01-01-2022 - Present

  • National level Symposia on Siddhant 2.0...the MathFest at MNITJ, Jaipur, India from 15-03-2024 to 17-03-2024
  • National level Workshop on Teachers Enrichment Workshop on Complex Analysis and Geometry at Malaviya National Institute of Technology, Jaipur, India from 12-12-2022 to 17-12-2022
  • National level Workshop on Teachers enrichment workshop on Algebra and Analysis at Malaviya National Institute of Technology, Jaipur, India from 15-10-2018 to 20-10-2018
  • National level Symposia on Siddhant 1.0...the MathFest at MNITJ, Jaipur, India from 18-08-2017 to 19-08-2017
  • National level Workshop on Instructional School for Teachers on Algebra at Malaviya National Institute of Technology , Jaipur, India from 07-12-2015 to 19-12-2015
  • International level Conference on International Conference on Special Functions & Applications (ICSFA 2013) at Malaviya National Institute of Technology Jaipur, Jaipur, India from 13-12-2013 to 15-12-2013

  • National level Workshop on Nurturing Future Leadership Program at IIT Gandhinagar, Gandhinagar, India from 24-06-2024 to 28-06-2024

  • Affiliate member of American Mathematical Society
  • Life member of Indian Mathematical Society
  • Life member of The Indian Science Congress Association
  • Life member of Ramanujan Mathematical Society
  • Life member of Vigyan Bharti

    Awarded
  • Urvashi P. Sharma on A study of bicomplex functions, integral transforms and applications Year - 2023
  • Naveen Kumar on A study of extended special functions, associated integral transform, bounding inequalities, distributions and applications Year - 2023
  • Kritika on A study of fractional calculus with applications to the biological systems Year - 2021
  • Mahaveer P. Yadav on A study of fractional calculus with applications in ground water flow problems Year - 2020
  • Mahesh P. Goswami on Bicomplex Integral Transforms and applications Year - 2017
  • Sonal Jain on A study of some advances in Fractional Calculus and Special Functions with modeling and applications in physical systems Year - 2017
  • Ongoing
  • Pooja on A study of Mathematical Modeling in Biological Realms from the Perspective of the Fractional Calculus Year - 2022
  • Chhaya Midha on Fractional Calculus in Dynamical Systems: Analytical Approaches, Methods and Solutions Year - 2022

Title Total Outlay
(In Lacs)
Year Funding Agency Role
Application of fractional calculus in the study of dynamics of cytosolic calcium ion in astrocytes3.842017-2022NBHM (Deptt of atomic energy)PI

Title Total Outlay
(In Lacs)
Year Funding Agency
Teachers enrichment program on complex analysis and geometry2.692022-2022National centre for Mathematics
Teachers enrichment workshop on algebra and analysis2.282018-2018National centre for Mathematics
Instructional school for teachers on Algebra5.532015-2015National centre for Mathematics

  • Convener, DPGC in Malaviya National Institute of Technology, Jaipur from - 02-08-2023 to Till Date
  • Convener, DPGC in Malaviya National Institute of Technology, Jaipur from - 08-07-2020 to 05-08-2021
  • Member, House allotment committee in Malaviya National Institute of Technology, Jaipur from - 08-09-2016 to 15-10-2020
  • DASA (Direct Admission to Students Abroad), Technical cum Implementation Committee of DASA 2015 in Malaviya National Institute of Technology, Jaipur from - 01-01-2015 to 31-08-2015

  • Excellence in Academic Leadership Award for EARG 2024 given by Math Tech Thinking Foundation Year - 2024
  • Winner, Hindi Nibandh Partiyogita for Hindi Pakhwada 2024 given by Malaviya National Institute of Technology Jaipur Year - 2024
  • Young Scientist Award 2023 for 2nd Global Conference on EMERGING TRENDS IN RESEARCH and DEVELOPMENT given by The International Journal of Innovative Research and Growth (IJIRG) Year - 2023
  • Winner Nibandh Partiyogita for Hindi Saptah 2023 given by Malaviya National Institute of Technology Jaipur Year - 2023
  • Wonder Woman for Womens day given by Vivekanand Global University, Jaipur Year - 2021
  • Fellowship (JRF-NET and SRF) for PhD given by Council of Industrial and Scientific Research India Year - 2002
  • Merit award for Sr. Secondary given by Navodaya Vidyalaya Samiti Jaipur Year - 1996

SNo. Type Title Event Place Schedule
1TalkA study of the non-linear dynamics of Komarovas compartmental model for bone mineralization7th International Conference On Mathematical Modelling, Applied Analysis And Computation (ICMMAAC-24)Labenese American University, BeirutApr-2024
2TalkFundamental Contribution by Indian MathematiciansNational Science DayAnand International College of Enginerring , JaipurFeb-2024
3TalkLatex Tool for Scientific Writing National Webinar in association with CTIF Global Capsule(CGC), Denmark.Poornima College of Engineering, JaipurFeb-2024
4KeynoteFundamental Contribution by Indian MathematiciansInternational Conference on Advances in Higher Technical Education (ICAHTE 2024)University of Engineering and management JaipurFeb-2024
5TalkGap theorem in bicomplex space38th annual conference of Ramanujan Mathematical SocietyIIT GuwahatiDec-2023
6TalkBicomplex power series, natural boundary and gap theorems29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications Pondicherry UniversityAug-2023

...

Exploring the Landscape of Fractional-Order Models in Epidemiology
Read more..

...

Mathematical analysis of the non-linear dynamics of bone mineralization
Read more..