Generalization of Fractional Kinetic Equations Containing Incomplete I -Functions

Authored by: Kamlesh Jangid , Sapna Meena , Sanjay Bhatter , S. D. Purohit

Handbook of Fractional Calculus for Engineering and Science

Print publication date:  February  2022
Online publication date:  February  2022

Print ISBN: 9781032047799
eBook ISBN: 9781003263517
Adobe ISBN:

10.1201/9781003263517-8

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Abstract

Fractional kinetic equations are relevant to a variety of problems related to science and engineering. This chapter studies fractional kinetic equations by deriving them from physical problems and generalizing them in terms of polynomial weighted incomplete I-functions, incomplete Ī-functions, incomplete Ħ-functions, and incomplete H-functions. The Laplace transform approach is employed to obtain solutions for generalized fractional kinetic problems. Analytic solutions for numerous forms of kinetic equation are concretely examined with reference to specific examples.

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