Langevin differential equations with general fractional orders and their applications to electric circuit theory

DOI10.1016/j.cam.2020.113299zbMath1460.34010OpenAlexW3107868541WikidataQ115359694 ScholiaQ115359694MaRDI QIDQ2223869

Arzu Ahmadova, Nazim Idris Mahmudov

Publication date: 3 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113299

zbMATH Keywords

Laplace transformexistence and uniquenessUlam-Hyers stabilityelectrical circuitsbivariate Mittag-Leffler functionsCaputo type fractional Langevin differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Perturbations of ordinary differential equations (34D10) Mittag-Leffler functions and generalizations (33E12) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Related Items (13)

A new analytic solution of complex Langevin differential equations ⋮ Existence and stability results on multidimensional fractional-order systems ⋮ On the fractional calculus of multivariate Mittag-Leffler functions ⋮ Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations ⋮ Strong convergence of a Euler-Maruyama method for fractional stochastic Langevin equations ⋮ On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions ⋮ Controllability results for a class of piecewise nonlinear impulsive fractional dynamic systems ⋮ Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders ⋮ On a study of Sobolev‐type fractional functional evolution equations ⋮ Perturbation properties of fractional strongly continuous cosine and sine family operators ⋮ 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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