Abstract
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.
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- On skew derivations and antiautomorphisms in prime rings
- On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them
- Solution of generalized fractional kinetic equations with generalized Mathieu series
- The generalized Drazin inverse of an operator matrix with commuting entries
- Asymptotic analysis of fundamental solutions of hypoelliptic operators
- Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain
- Double lacunary statistical convergence of Δ-measurable functions on product time scales
- On ρ-statistical convergence in neutrosophic normed spaces
- On the comparison of translation invariant convex differentiation bases
- The quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
- Some classes of topological spaces and the space of G-permutation degree
- BV capacity and perimeter in abstract Wiener spaces and applications
- New approach on the study of operator matrix
- Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms
- Localization operators and inversion formulas for the Dunkl–Weinstein–Stockwell transform
Articles in the same Issue
- Frontmatter
- On skew derivations and antiautomorphisms in prime rings
- On the non-triviality of anisotropic Roumieu Gelfand–Shilov spaces and inclusion between them
- Solution of generalized fractional kinetic equations with generalized Mathieu series
- The generalized Drazin inverse of an operator matrix with commuting entries
- Asymptotic analysis of fundamental solutions of hypoelliptic operators
- Calculation of Reynolds equation for the generalized non-Newtonian fluids and its asymptotic behavior in a thin domain
- Double lacunary statistical convergence of Δ-measurable functions on product time scales
- On ρ-statistical convergence in neutrosophic normed spaces
- On the comparison of translation invariant convex differentiation bases
- The quasi-Zariski topology on the graded quasi-primary spectrum of a graded module over a graded commutative ring
- Some classes of topological spaces and the space of G-permutation degree
- BV capacity and perimeter in abstract Wiener spaces and applications
- New approach on the study of operator matrix
- Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms
- Localization operators and inversion formulas for the Dunkl–Weinstein–Stockwell transform