Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations

DOI10.1016/j.cnsns.2021.105735zbMath1464.34005OpenAlexW3125811323WikidataQ115358569 ScholiaQ115358569MaRDI QIDQ2656815

Ismail Huseynov, Arran Fernandez, Arzu Ahmadova, Nazim Idris Mahmudov

Publication date: 16 March 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105735

zbMATH Keywords

Laplace transformfractional calculusfractional differential equationsCaputo fractional derivativedifferential equation systemstrivariate Mittag-Leffler functions

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Related Items (12)

Existence and stability results on multidimensional fractional-order systems ⋮ Representation of solutions of nonhomogeneous conformable fractional delay differential equations ⋮ On the fractional calculus of multivariate Mittag-Leffler functions ⋮ Strong convergence of a Euler-Maruyama method for fractional stochastic Langevin equations ⋮ Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ On a study of Sobolev‐type fractional functional evolution equations ⋮ Wave process in viscoelastic media using fractional derivatives with nonsingular kernels ⋮ Two unified families of bivariate Mittag-Leffler functions ⋮ Operational calculus for the Riemann-Liouville fractional derivative with respect to a function and its applications ⋮ Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: subordination principle ⋮ Toward solving fractional differential equations via solving ordinary differential equations ⋮ A novel technique for solving Sobolev-type fractional multi-order evolution equations

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