Assist. Prof. Dr. Dinesh Kumar | Pure Mathematics | Best Researcher Award
Assistant Professor at Agriculture University Jodhpur, India
Professional Profile
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ORCID Profile
Education 🎓
Dr. Dinesh Kumar holds a Ph.D. in Mathematics from J.N. Vyas University, Jodhpur (2013), with a specialization in Fractional Differintegrals and Applications. He previously completed his M.Phil. in Mathematics with distinction (76.4%) in 2008, followed by an M.Sc. in Mathematics (67.9%) and a B.Sc. in PCM. In addition to his core qualifications, he holds a PGDCA in Computer Science and has successfully cleared the IELTS exam by the British Council 🌍. His academic foundation is deeply rooted in analytical reasoning, integral calculus, and differential equations. Through rigorous academic training, Dr. Kumar has built an outstanding base for mathematical modeling and theoretical research 🧠. His progressive academic journey reflects commitment, clarity, and passion for mathematical sciences 📚.
Professional Experience 👨🏫
Dr. Dinesh Kumar has over 12 years of dynamic research experience and 10 years of teaching excellence in undergraduate and postgraduate mathematics education 🏫. He currently serves at the College of Agriculture, Jodhpur under Agriculture University Jodhpur. His teaching portfolio includes Algebra, Calculus, Differential Equations, Engineering Mathematics, Operations Research, and Design of Experiments. Beyond teaching, Dr. Kumar has actively participated in administrative responsibilities, including roles as Observer and City Coordinator in university-level entrance exams 📝. His leadership is also evident in his technical committee membership for international conferences. With a commitment to academic development and student mentorship, he contributes holistically to the academic and research ecosystem of his institution and beyond 🌐.
Research Interest 🔬
Dr. Kumar’s research focuses on advanced mathematical areas including Fractional Calculus, Special Functions, Integral Transforms, Differential Equations, q-Fractional Calculus, and Mathematical Physics 📐. His interests also cover Kinetic and Reaction-Diffusion Equations, Inequalities, and Hypergeometric Functions, all central to modern applied mathematics. His work contributes significantly to theoretical models and their real-world applications in physics and engineering domains. Dr. Kumar is also passionate about extending classical mathematical theories into new interdisciplinary areas 🌍. His dedication to research is reflected through numerous international collaborations, invited lectures, and participation in global mathematical forums. With a vision for innovation and impact, Dr. Kumar continuously pushes the boundaries of applied mathematical science 🚀.
Awards and Honors 🏆
Dr. Dinesh Kumar has received numerous accolades throughout his academic career. He was recently honored with a Research Paper Award by the Vice Chancellor of Agriculture University Jodhpur 🇮🇳. His prestigious fellowships include UGC’s Dr. D.S. Kothari PDF, NBHM Postdoctoral Fellowship, and international postdocs from Thailand and Turkey 🌎. He received full travel support for attending global conferences, including ICM 2018 in Brazil. Dr. Kumar was nominated for the “Bharat Shiksha Ratan Award” in 2019 🥇. These accolades recognize his outstanding contributions to mathematical research and education. They also reflect his global academic presence and excellence in both theoretical and applied domains 📊.
Research Skills 💡
Dr. Dinesh Kumar is highly skilled in mathematical modeling, analytical problem-solving, and academic publishing. His technical proficiencies include MATLAB, Mathematica, and LaTeX—tools essential for modern research in mathematics and computational sciences 💻. He has authored and presented papers in international conferences, collaborated globally, and developed complex models in fractional calculus and integral transforms. He is also adept at typesetting academic papers, designing mathematical experiments, and communicating complex theories with clarity 📘. His ability to bridge theoretical concepts with real-world applications makes him a valuable contributor to scientific research. Dr. Kumar’s rich skill set underscores his capacity to drive innovation in mathematical sciences ⚙️.
Publications Top Note 📝
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Title: Generalized fractional integrals of product of two H-functions and a general class of polynomials
Authors: D. Baleanu, D. Kumar, S.D. Purohit
Year: 2016
Citations: 55
Source: International Journal of Computer Mathematics, 93(8), 1320–1329 -
Title: On generalized fractional kinetic equations involving generalized Bessel function of the first kind
Authors: D. Kumar, S.D. Purohit, A. Secer, A. Atangana
Year: 2015
Citations: 54
Source: Mathematical Problems in Engineering, 2015(1), Article ID 289387 -
Title: Generalized fractional integrals involving product of multivariable H-function and a general class of polynomials
Authors: D. Kumar, S.D. Purohit, J. Choi
Year: 2016
Citations: 49
Source: Journal of Nonlinear Science and Applications, 9(1), 8–21 -
Title: Solutions of generalized fractional kinetic equations involving Aleph functions
Authors: J. Choi, D. Kumar
Year: 2015
Citations: 49
Source: Mathematical Communications, 20(1), 113–123 -
Title: Generalized fractional integration of the ℵ-function
Authors: J. Ram, D. Kumar
Year: 2011
Citations: 37
Source: A A, 1(2) -
Title: Solution of a general family of fractional kinetic equations associated with the generalized Mittag-Leffler function
Authors: D. Kumar, J. Choi, H.M. Srivastava
Year: 2018
Citations: 31
Source: Nonlinear Functional Analysis and Applications, 23(3), 455–471 -
Title: Generalized fractional integration involving Appell hypergeometric of the product of two H-functions
Authors: J. Ram, D. Kumar
Year: 2011
Citations: 31
Source: Vijnana Parishad Anusandhan Patrika, 54(3), 33–43 -
Title: The Multivariable H-Function and the General Class of Srivastava Polynomials Involving the Generalized Mellin-Barnes Contour Integrals
Authors: J. Daiya, J. Ram, D. Kumar
Year: 2016
Citations: 30
Source: Filomat, 30(6), 1457–1464 -
Title: Generalized Fractional Calculus of the -Series Involving Hypergeometric function
Authors: D. Kumar, R.K. Saxena
Year: 2015
Citations: 26
Source: Sohag Journal of Mathematics, 2(1), 17–22 -
Title: Generalized Fractional Calculus of the Aleph-function Involving a General Class of Polynomials
Authors: R.K. Saxena, D. Kumar
Year: 2015
Citations: 26
Source: Acta Mathematica Scientia, 35(5), 1095–1110 -
Title: Certain integral equation of Fredholm type with special functions
Authors: D. Kumar, F. Ayant
Year: 2023
Citations: 1
Source: São Paulo Journal of Mathematical Sciences, 17(2), 957–968 -
Title: Certain finite integrals related to the products of special functions
Authors: D. Kumar, F. Ayant, S. Asawasamrit, J. Tariboon
Year: 2021
Citations: 1
Source: Symmetry, 13, Article 11 -
Title: Fractional calculus operators pertaining to multivariable Aleph-function
Authors: D. Kumar, F. Ayant
Year: 2020
Citations: 1
Source: Boletim da Sociedade Paranaense de Matemática -
Title: Generalized fractional integral and derivative formulas for a product of ℵ-function and a general class of polynomials
Authors: R.K. Gupta, B.S. Shaktawat, D. Kumar
Year: 2016
Citations: 1
Source: Journal of Chemical, Biological and Physical Sciences (Section C: Physical) -
Title: Certain fractional integrals of generalized Bessel functions of the first kind
Authors: D. Kumar
Year: 2016
Citations: 1
Source: Asian Journal of Mathematics and Computer Research, 11(4), 304–314 -
Title: The product of Bessel functions of the first kind with fractional calculus operators involving Appell hypergeometric function
Authors: D. Kumar, J. Ram
Year: 2012
Citations: 1
Source: International Journal of Advanced Mathematics and Statistics, 1(1), 17–33 -
Title: Unified finite integrals involving multivariable A-functions and hypergeometric functions
Authors: D. Kumar, F. Ayant
Year: 2025
Source: Analysis, 2025 -
Title: A unified study of the Fourier series involving the Aleph-function of two variables
Authors: D. Kumar, F. Ayant
Year: 2025
Source: Acta Universitatis Sapientiae Mathematica, 16(2), 249–262 -
Title: On fractional -integral representations of the modified Aleph-function of two variables
Authors: D. Kumar, F. Ayant
Year: 2025
Source: Advances in Mathematical Sciences and Applications, 34(2), 579–596 -
Title: A general fractional integral operator of the product of a general class of multivariable polynomials and the multivariable Aleph-function
Authors: D. Kumar, F. Ayant, K.S. Nisar
Year: 2025
Source: Advances in Mathematical Sciences and Applications, 34(2), 505–520
Conclusion 🌟
Dr. Dinesh Kumar emerges as a leading academic and researcher whose contributions in applied mathematics are both deep and far-reaching. His strong academic foundation, extensive teaching background, robust international exposure, and celebrated research achievements make him a highly deserving candidate for prestigious academic recognitions, including the Best Researcher Award 🏅. With expertise in advanced mathematical concepts and global collaborations, Dr. Kumar exemplifies dedication, innovation, and impact. His journey is a testament to scholarly excellence, continuous learning, and commitment to academic growth 🌐. As he continues to contribute to science and education, Dr. Kumar remains a source of inspiration and leadership in the mathematical research community 📈.