Certain fractional kinetic equations involving generalized \(k\)-Bessel function

DOI10.1016/j.trmi.2018.03.001zbMath1423.34058arXiv1705.04599OpenAlexW2964216698MaRDI QIDQ2317118

Gurmej Singh, Mehar Chand, Shilpi Jain, Praveen Agarwal

Publication date: 8 August 2019

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04599

zbMATH Keywords

Laplace transformfractional calculusfractional integrationfractional derivativePochhammer symbol\(k\)-Bessel function

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Qualitative investigation and simulation of ordinary differential equation models (34C60) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Fractional ordinary differential equations (34A08)

Related Items (8)

On generalized Bessel-Maitland function ⋮ Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions ⋮ Application of Laplace transform on fractional kinetic equation pertaining to the generalized Galué type Struve function ⋮ Certain Image Formulae and Fractional Kinetic Equations Involving Extended Hypergeometric Functions ⋮ Generalized fractional integral formulas for the \(k\)-Bessel function ⋮ Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalized Hypergeometric Functions ⋮ Further developments of Bessel functions via conformable calculus with applications ⋮ Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions

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