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Certain Properties of Generalized q-Mittag–Leffler Type Function and its Application in Fractional q-Kinetic Equation
The present paper aims to introduce and study some properties and the applications of the q-analogue of the generalized Mittag–Leffler function γ , δ E α , β z . We establish several of its properties, including the convergence condition, the Caputo fractional q -derivative, the Hilfer fractional q...
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Published in: | International journal of applied and computational mathematics 2022-10, Vol.8 (5), Article 219 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | The present paper aims to introduce and study some properties and the applications of the q-analogue of the generalized Mittag–Leffler function
γ
,
δ
E
α
,
β
z
. We establish several of its properties, including the convergence condition, the Caputo fractional
q
-derivative, the Hilfer fractional
q
-derivative, the Kober fractional
q
-integral, the Jackson
q
-integral, and the
q
-Sumudu transform. Furthermore, we study the applications of q-analogue of the generalized Mittag–Leffler function in kinetic equation and obtain the solution to the fractional
q
-kinetic equation includes this function and discuss certain special cases. |
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ISSN: | 2349-5103 2199-5796 |
DOI: | 10.1007/s40819-022-01387-1 |