Solution of generalized fractional kinetic equations with generalized Mathieu series. (English) Zbl 1540.34146
Summary: We develop a new generalized form of the fractional kinetic equation involving the generalized Mathieu series. By using the Sumudu transform, a solution of these generalized fractional kinetic equation is obtained in terms of the Mittag-Leffler function. The numerical results and graphical interpretation are also presented.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K06 | Linear functional-differential equations |
| 44A15 | Special integral transforms (Legendre, Hilbert, etc.) |
| 33E12 | Mittag-Leffler functions and generalizations |
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