Certain Image Formulae and Fractional Kinetic Equations of Generalized k -Bessel Functions via the Sumudu Transform

Kottakkaran Sooppy Nisar; Moheb Saad Abouzaid; Fethi Bin Muhammad Belgacem

doi:10.1007/s40819-020-00866-7

Certain Image Formulae and Fractional Kinetic Equations of Generalized k -Bessel Functions via the Sumudu Transform

Kottakkaran Sooppy Nisar
, Moheb Saad Abouzaid
, Fethi Bin Muhammad Belgacem

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The monotonicity and the representation formulae of generalized k-Bessel functions, Wν,ck, studied by SR Mondal. This paper establishes the image formulae and then extract the solutions for fractional kinetic equations, involving Wν,ck utilizing their Sumudu transforms. Some significant particular cases are then deduced and analyzed.

Original language	English
Article number	114
Journal	International Journal of Applied and Computational Mathematics
Volume	6
Issue number	4
DOIs	https://doi.org/10.1007/s40819-020-00866-7
State	Published - 1 Aug 2020

Keywords

FKE
Fractional calculus
Laplace transform
k-Bessel function

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10.1007/s40819-020-00866-7

Cite this

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title = "Certain Image Formulae and Fractional Kinetic Equations of Generalized k -Bessel Functions via the Sumudu Transform",

abstract = "The monotonicity and the representation formulae of generalized k-Bessel functions, Wν,ck, studied by SR Mondal. This paper establishes the image formulae and then extract the solutions for fractional kinetic equations, involving Wν,ck utilizing their Sumudu transforms. Some significant particular cases are then deduced and analyzed.",

keywords = "FKE, Fractional calculus, Laplace transform, k-Bessel function",

author = "Nisar, \{Kottakkaran Sooppy\} and Abouzaid, \{Moheb Saad\} and Belgacem, \{Fethi Bin Muhammad\}",

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AU - Abouzaid, Moheb Saad

AU - Belgacem, Fethi Bin Muhammad

PY - 2020/8/1

Y1 - 2020/8/1

N2 - The monotonicity and the representation formulae of generalized k-Bessel functions, Wν,ck, studied by SR Mondal. This paper establishes the image formulae and then extract the solutions for fractional kinetic equations, involving Wν,ck utilizing their Sumudu transforms. Some significant particular cases are then deduced and analyzed.

AB - The monotonicity and the representation formulae of generalized k-Bessel functions, Wν,ck, studied by SR Mondal. This paper establishes the image formulae and then extract the solutions for fractional kinetic equations, involving Wν,ck utilizing their Sumudu transforms. Some significant particular cases are then deduced and analyzed.

KW - FKE

KW - Fractional calculus

KW - Laplace transform

KW - k-Bessel function

UR - https://www.scopus.com/pages/publications/85088245119

U2 - 10.1007/s40819-020-00866-7

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M3 - Article

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ER -

Certain Image Formulae and Fractional Kinetic Equations of Generalized k -Bessel Functions via the Sumudu Transform

Abstract

Keywords

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