Explicit analytical solutions of incommensurate fractional differential equation systems

DOI10.1016/j.amc.2020.125590OpenAlexW3081064336WikidataQ115361190 ScholiaQ115361190MaRDI QIDQ2660807

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

Publication date: 31 March 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125590

zbMATH Keywords

Caputo fractional derivativebivariate Mittag-Leffler functionsincommensurate systemfractional differential equation systems

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Mittag-Leffler functions and generalizations (33E12) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

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Existence and stability results on multidimensional fractional-order systems ⋮ Solving a well-posed fractional initial value problem by a complex approach ⋮ Representation of solutions of nonhomogeneous conformable fractional delay differential equations ⋮ On the fractional calculus of multivariate Mittag-Leffler functions ⋮ Explicit solutions and asymptotic behaviors of Caputo discrete fractional-order equations with variable coefficients ⋮ Strong convergence of a Euler-Maruyama method for fractional stochastic Langevin equations ⋮ Exact solutions and Hyers-Ulam stability of fractional equations with double delays ⋮ Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ On a study of Sobolev‐type fractional functional evolution equations ⋮ Two unified families of bivariate Mittag-Leffler functions ⋮ Langevin differential equations with general fractional orders and their applications to electric circuit theory ⋮ Unnamed Item ⋮ 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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