On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function
type: Item
instance of: scholarly article
title: On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function
zbMATH Open document ID: 1446.35243
author: Praveen Agarwal
author: D. Baleanu
author: Donal O'Regan
author: Mehar Chand
author: Shilpi Jain
published in: Advances in Difference Equations
publication date: 2019-01-22T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 7004711
zbMATH Keywords: fractional kinetic equation
zbMATH Keywords: Laplace transforms
zbMATH Keywords: generalized \(k\)-Mittag-Leffler function
MaRDI profile type: Publication
full work available at URL: s13662-018-1694-8
OpenAlex ID: W2883179813
cites work: Q4898801
cites work: Q4903694
cites work: Fractional calculus operators and their image formulas
cites work: Q5254230
cites work: Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation
cites work: Extended Riemann-Liouville type fractional derivative operator with applications
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Q3141902
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Stability of Fractional-Order Systems with Rational Orders
cites work: Fractional order calculus: basic concepts and engineering applications
cites work: Stabilization using fractional-order PI and PID controllers
cites work: Calculation of all stabilizing fractional-order PD controllers for integrating time delay systems
cites work: Q5699297
cites work: Q5576882
cites work: Q3141895
cites work: On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning
cites work: A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
cites work: Chaos in a nonlinear Bloch system with Atangana–Baleanu fractional derivatives
cites work: Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
cites work: The fractional kinetic equation and thermonuclear functions.
cites work: Certain sequences involving product of k-Bessel function
cites work: On the solutions of certain fractional kinetic equations
cites work: Solutions of Fractional Partial Differential Equations of Quantum Mechanics
cites work: Q5420872
cites work: On fractional partial differential equations related to quantum mechanics
cites work: Q3526206
cites work: Fractional Fourier transform and special \(k\)-functions
cites work: Q3004041
cites work: Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
cites work: Q5638564
cites work: The k-Mittag-Leffler function
cites work: On a generalization of Mittag-Leffler function and its properties
cites work: Q3018812
cites work: Q3331506
cites work: Multivariate analogue of generalized Mittag-Leffler function
cites work: A generalized multiparameter function of Mittag-Leffler type
cites work: Multi-parametric Mittag-Leffler functions and their extension
cites work: Q5827353
Wikidata QID: Q129509012
DOI: 10.1186/S13662-018-1694-8
Recommended article: Fractional integrals and solution of fractional kinetic equations involving \(k\)-Mittag-Leffler function
Recommended article: Q4619704
Recommended article: Q4597050
Recommended article: On the solutions of certain fractional kinetic equations
Recommended article: The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations
Recommended article: Q5134154
Recommended article: FRACTIONAL KINETIC EQUATIONS INVOLVING THE MITTAG-LEFFLER (p, s, k) FUNCTION VIA SUMUDU TRANSFORM
Recommended article: Certain fractional kinetic equations involving generalized \(K\)-functions
Recommended article: On solutions of fractional kinetic equations involving the generalized -Bessel function
Recommended article: Solutions of certain fractional kinetic equations and a fractional diffusion equation
description: scientific article; zbMATH DE number 7004711