Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique

DOI10.1186/S13662-021-03520-8zbMath1494.34019OpenAlexW3192060108WikidataQ115241196 ScholiaQ115241196MaRDI QIDQ2167118

Amar Benkerrouche, Mustafa Inc, Ali Hakem, Mohammed Said Souid, Dumitru Baleanu

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03520-8

zbMATH Keywords

measure of noncompactnessboundary value problemfractional differential equationsUlam-Hyers-Rassias stabilityDarbo's fixed point theorem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Cites Work

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• Variable-order fractional derivatives and their numerical approximations
• An efficient numerical method for variable order fractional functional differential equation
• The uniqueness result of solutions to initial value problems of differential equations of variable-order
• Fractional integration and differentiation of variable order
• Two new fractional derivatives of variable order with non-singular kernel and fractional differential equation
• On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas
• A study on the solutions of a multiterm FBVP of variable order
• The existence of solutions and generalized Lyapunov-type inequalities to boundary value problems of differential equations of variable order
• Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
• Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations
• Caputo derivatives of fractional variable order: numerical approximations
• On integrability of the higher dimensional time fractional KdV-type equation
• Integration and differentiation to a variable fractional order
• Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations via the method of upper and lower solutions
• An efficient numerical approach for fractional multidimensional diffusion equations with exponential memory

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