All Stories

  1. Analysis of Finite Integrals with Incomplete Aleph Functions, Mittag-Leffler Generalizations, and the Error Function

    Article • Fractal and Fractional, November 2025, MDPI AG

    Dr. Dinesh Kumar

  2. Certain Unified Infinite Integrals Involving Incomplete Special Functions

    Article • International Journal of Applied and Computational Mathematics, August 2025, Springer Science + Business Media

    Dr. Dinesh Kumar

  3. SEVERAL FINDINGS ON FRACTIONAL $(p, q)$-DERIVATIVES FOR THE $(p, q)$-VARIANT OF PRATHIMA'S MULTIVARIABLE $I$-FUNCTION

    Article • South East Asian J of Mathematics and Mathematical Sciences, December 2024, Ramanujan Society of Mathematics and Mathematical Sciences

    Dr. Dinesh Kumar

  4. Boros integral involving the class of polynomials and incomplete $$\aleph $$-functions

    Article • Proceedings of the Indian National Science Academy, April 2024, Springer Science + Business Media

    Dr. Dinesh Kumar

  5. Multi-parametrical analysis of Haptal glacier, lower Chenab basin, Jammu and Kashmir, India: A remote sensing approach

    Article • Journal of Earth System Science, April 2024, Springer Science + Business Media

    Dr. Dinesh Kumar

  6. Fractional q-Calculus Operators Pertaining to the q-Analogue of M-Function and Its Application to Fractional q-Kinetic Equations

    Article • Axioms, January 2024, MDPI AG

    Dr. Dinesh Kumar

  7. Investigating the phenology and interactions of competitive plant species co-occurring with invasive Lantana camara in Indian Himalayan Region

    Article • Scientific Reports, January 2024, Springer Science + Business Media

    Dr. Dinesh Kumar

  8. Integral Involving the Product of Multivariable Alephfunction, General Class of Srivastava Polynomials and Alephfunction of One Variable

    Article • Kragujevac Journal of Mathematics, January 2024, University Library in Kragujevac

    Dr. Dinesh Kumar

  9. Certain q-Analogue of Fractional Integrals and Derivatives Involving Basic Analogue of the Several Variable Aleph-Function

    Article • Axioms, January 2023, MDPI AG

    Dr. Dinesh Kumar

  10. Finite summation formulas for the multivariable $A$-function

    Article • Boletim da Sociedade Paranaense de Matemática, December 2022, Sociedade Paranaense de Matematica

    Dr. Dinesh Kumar

  11. Analytical Solutions of Temperature Distribution in a Rectangular Parallelepiped

    Article • Axioms, September 2022, MDPI AG

    Dr. Dinesh Kumar

  12. On Fractional q-Integral Operators Involving the Basic Analogue of Multivariable Aleph-Function

    Article • Proceedings of the National Academy of Sciences India Section A Physical Sciences, September 2022, Springer Science + Business Media

    Dr. Dinesh Kumar

  13. Boros integral involving the generalized multi-index Mittag-Leffler function and incomplete I-functions

    Article • Research in Mathematics, June 2022, Taylor & Francis

    Dr. Dinesh Kumar

  14. Dirichlet Averages of Generalized Mittag-Leffler Type Function

    Article • Fractal and Fractional, May 2022, MDPI AG

    Dr. Dinesh Kumar

  15. Time-fractional partial differential equations: a novel technique for analytical and numerical solutions

    Article • Arab Journal of Basic and Applied Sciences, April 2022, Taylor & Francis

    Dr. Dinesh Kumar

  16. Numerical solution of unsteady state fractional advection–dispersion equation

    Article • Arab Journal of Basic and Applied Sciences, April 2022, Taylor & Francis

    Dr. Dinesh Kumar

  17. Approximate Analytical Solution for Non-Linear Fitzhugh–Nagumo Equation of Time Fractional Order Through Fractional Reduced Differential Transform Method

    Article • International Journal of Applied and Computational Mathematics, February 2022, Springer Science + Business Media

    Dr. Dinesh Kumar

  18. On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables

    Article • Fractal and Fractional, January 2022, MDPI AG

    Dr. Dinesh Kumar

  19. Solution to algebraic equations of degree 4 and the fundamental theorem of algebra by Carl Friedrich Gauss

    Article • Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, January 2022, De Gruyter

    Dr. Dinesh Kumar

  20. Fractional calculus pertaining to multivariable Aleph-function

    Article • Boletim da Sociedade Paranaense de Matemática, January 2022, Sociedade Paranaense de Matematica

    Dr. Dinesh Kumar

  21. Certain Finite Integrals Related to the Products of Special Functions

    Article • Symmetry, October 2021, MDPI AG

    Dr. Dinesh Kumar

  22. Certain integral equation of fredholm type with special functions

    Article • São Paulo Journal of Mathematical Sciences, August 2021, Springer Science + Business Media

    Dr. Dinesh Kumar

  23. Application of Jacobi Polynomial and Multivariable Aleph- Function in Heat Conduction in Non-Homogeneous Moving Rectangular Parallelepiped

    Article • Kragujevac Journal of Mathematics, May 2021, University Library in Kragujevac

    Dr. Dinesh Kumar

  24. Certain integral involving the product of Srivastava polynomials and special functions

    Article • Afrika Matematika, February 2021, Springer Science + Business Media

    Dr. Dinesh Kumar

  25. On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative

    Article • Mathematical Modelling of Natural Phenomena, January 2021, EDP Sciences

    Dr. Dinesh Kumar

  26. A generalized kinetic model of the advection-dispersion process in a sorbing medium

    Article • Mathematical Modelling of Natural Phenomena, January 2021, EDP Sciences

    Dr. Dinesh Kumar

  27. A New Class of Integrals Involving Generalized Hypergeometric Function and Multivariable Aleph-Function

    Article • Kragujevac Journal of Mathematics, December 2020, University Library in Kragujevac

    Dr. Dinesh Kumar

  28. On Transformation Involving Basic Analogue of Multivariable H-Function

    Article • Journal of Function Spaces, May 2020, Hindawi Publishing Corporation

    Dr. Dinesh Kumar

  29. FINITE INTEGRAL FORMULA INVOLVING ALEPH–FUNCTION AND GENERALIZED MITTAG–LEFFLER FUNCTION

    Article • Issues of Analysis, February 2020, Petrozavodsk State University

    Dr. Dinesh Kumar

  30. Solution of fractional kinetic equations involving class of functions and Sumudu transform

    Article • Advances in Difference Equations, January 2020, Springer Science + Business Media

    Dr. Dinesh Kumar

  31. S-function associated with fractional derivative and double Dirichlet average

    Article • AIMS Mathematics, January 2020, American Institute of Mathematical Sciences (AIMS)

    Dr. Dinesh Kumar

  32. Unified integral inequalities comprising pathway operators

    Article • AIMS Mathematics, January 2020, American Institute of Mathematical Sciences (AIMS)

    Dr. Dinesh Kumar

  33. Fractional calculus pertaining to multivariable I-function defined by Prathima

    Article • Journal of Applied Mathematics Statistics and Informatics, December 2019, De Gruyter

    Dr. Dinesh Kumar

  34. Application of Fractional Operators in Modelling for Charge Carrier Transport in Amorphous Semiconductor with Multiple Trapping

    Article • International Journal of Applied and Computational Mathematics, November 2019, Springer Science + Business Media

    Dr. Dinesh Kumar

  35. Solutions of Fractional Kinetic Equation Associated with the Generalized Multiindex Bessel Function via Laplace Transform

    Article • Differential Equations and Dynamical Systems, November 2019, Springer Science + Business Media

    Dr. Dinesh Kumar

  36. A New Numerical Method to Solve Non Linear Fractional Differential Equations

    Article • International Journal of Innovative Technology and Exploring Engineering, October 2019, Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP

    Blue Eyes Intelligence Engineering and Sciences Blue Eyes Intelligence Engineering and Sciences Publication, Dr. Dinesh Kumar

  37. INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION

    Article • TWMS Journal of Applied and Engineering Mathematics, May 2019, TWMS Journal of Applied and Engineering Mathematics

    Dr. Dinesh Kumar

  38. SOME DOUBLE INTEGRALS INVOLVING MULTIVARIABLE I-FUNCTION

    Article • Acta Universitatis Apulensis, January 2019, PANGEEA

    Dr. Dinesh Kumar

  39. Applications to give an analytical solution to the Black Scholes equation

    Article • Integral Transforms and Special Functions, December 2018, Taylor & Francis

    Dr. Dinesh Kumar

  40. Fredholm type integral equation with special functions

    Article • Acta Universitatis Sapientiae Mathematica, August 2018, De Gruyter

    Dr. Dinesh Kumar

  41. Generating relations and multivariable Aleph-function

    Article • Analysis, July 2018, De Gruyter

    Dr. Dinesh Kumar

  42. Automation of boiler process at thermal power plant using sensors and IoT

    Article • Journal of Statistics and Management Systems, June 2018, Taylor & Francis

    NAVNEET KUMAR VERMA, Dr. Dinesh Kumar

  43. A Note on $$K_4$$ K 4 Fractional Integral Operator

    Article • International Journal of Applied and Computational Mathematics, February 2018, Springer Science + Business Media

    Dr. Dinesh Kumar

  44. Finite integral formulas involving aleph function

    Article • Boletim da Sociedade Paranaense de Matemática, January 2018, Sociedade Paranaense de Matematica

    Dr. Dinesh Kumar

  45. An Extension of the τ -Gauss Hypergeometric Functions and its Properties

    Article • Mathematical Sciences and Applications E-Notes, April 2017, Mathematical Sciences and Applications E-Notes

    Dr. Dinesh Kumar

  46. Marichev-Saigo-Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function

    Article • Cogent Mathematics, April 2017, Taylor & Francis

    Dr. Dinesh Kumar, Prof. Vishnu Narayan Mishra

  47. Pathway fractional integral operators of generalized k-wright function and k4-function

    Article • Boletim da Sociedade Paranaense de Matemática, April 2017, Sociedade Paranaense de Matematica

    Dr. Dinesh Kumar

  48. GENERALIZED FRACTIONAL DIFFERINTEGRAL OPERATORS OF THE K-SERIES

    Article • Honam Mathematical Journal, March 2017, The Homan Mathematical Society

    Dr. Dinesh Kumar

  49. Fractional integration formula for the \overline H-function

    Article • International Journal of Mathematical Analysis, January 2017, Hikari, Ltd.

    Dr. Dinesh Kumar

  50. CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION

    Article • Honam Mathematical Journal, December 2016, The Homan Mathematical Society

    Dr. Dinesh Kumar

  51. Integral Inequalities Associated with Gauss Hypergeometric Function Fractional Integral Operators

    Article • Proceedings of the National Academy of Sciences India Section A Physical Sciences, December 2016, Springer Science + Business Media

    Dr. Dinesh Kumar

  52. FRACTIONAL CALCULUS FORMULAS INVOLVING $\bar{H}$-FUNCTION AND SRIVASTAVA POLYNOMIALS

    Article • Communications of the Korean Mathematical Society, October 2016, The Korean Mathematical Society

    Dr. Dinesh Kumar

  53. Certain finite double integrals involving the hypergeometric function and Aleph-function

    Article • International Journal of Mathematics Trends and Technology, July 2016, Seventh Sense Research Group Journals

    Dr. Dinesh Kumar

  54. A unified study of Fourier series involving the Aleph-function and the Kampé de Fériet's function

    Article • International Journal of Mathematics Trends and Technology, July 2016, Seventh Sense Research Group Journals

    Dr. Dinesh Kumar

  55. Integral Formulas Involving a Product of Generalized Bessel Functions of the First Kind

    Article • Kyungpook mathematical journal, March 2016, Department of Mathematics, Kyungpook National University

    Dr. Sunil Dutt Purohit, Dr. Dinesh Kumar

  56. FRACTIONAL DIFFERENTIATION OF THE PRODUCT OF APPELL FUNCTION F3AND MULTIVARIABLE H-FUNCTIONS

    Article • Communications of the Korean Mathematical Society, January 2016, The Korean Mathematical Society

    Dr. Dinesh Kumar

  57. Generalized Fractional Integrals Involving Product of Multivariable H-function and a General Class of Polynomials

    Article • The Journal of Nonlinear Sciences and Applications, January 2016, International Scientific Research Publications MY SDN. BHD.

    Dr. Dinesh Kumar

  58. Certain generalized fractional differentiation of the product of two \aleph-functions associated with the Appell function F_3

    Article • Applied Mathematical Sciences, January 2016, Hikari, Ltd.

    Dr. Dinesh Kumar

  59. The multivariable H-function and the general class of Srivastava polynomials involving the generalized Mellin-Barnes contour integrals

    Article • Filomat, January 2016, National Library of Serbia

    Dr. Dinesh Kumar

  60. Generalized fractional calculus of the Aleph-function involving a general class of polynomials

    Article • Acta Mathematica Scientia, September 2015, Elsevier

    Dr. Dinesh Kumar

  61. Generalized fractional integrals of product of twoH-functions and a general class of polynomials

    Article • International Journal of Computer Mathematics, May 2015, Taylor & Francis

    Dr. Dinesh Kumar

  62. Certain generalized integral formulas involving Chebyshev Hermite polynomials, generalized M-series and Aleph-function, and their application in heat conduction

    Article • International Journal of Mathematical Analysis, January 2015, Hikari, Ltd.

    Dr. Dinesh Kumar

  63. On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind

    Article • Mathematical Problems in Engineering, January 2015, Hindawi Publishing Corporation

    Dr. Dinesh Kumar

  64. Certain unified fractional integrals and derivatives for a product of Aleph function and a general class of multivariable polynomials

    Article • Journal of Inequalities and Applications, December 2014, Springer Science + Business Media

    Dr. Dinesh Kumar

  65. Generalized fractional calculus of the product of two N-functions associated with the Appell function F3

    Article • Tamkang Journal of Mathematics, June 2014, CrossRef Test Account

    Dr. Dinesh Kumar

  66. Fractional Calculus of the Generalized Mittag-Leffler Type Function

    Article • International Scholarly Research Notices, January 2014, Hindawi Publishing Corporation

    Dr. Dinesh Kumar