Caputo type modification of the Erdélyi-Kober coupled implicit fractional differential systems with retardation and anticipation

DOI10.7153/dea-2021-13-07zbMath1488.34421OpenAlexW3165125807WikidataQ115157934 ScholiaQ115157934MaRDI QIDQ5006113

Mokhtar Boumaaza, Juan. J. Nieto, Mouffak Benchohra

Publication date: 12 August 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2021-13-07

zbMATH Keywords

existenceadvanced argumentsfixed pointretarded argumentscoupled fractional differential system implicit of Caputo-type modification of Erdélyi-Kober

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Implicit functional-differential equations (34K32)

Related Items (1)

Existence and uniqueness results for generalized Caputo iterative fractional boundary value problems

Cites Work

• Hadamard-type fractional functional differential equations and inclusions with retarded and advanced arguments
• Topics in fractional differential equations
• An existence theorem for implicit differential equations in a Banach space
• Monotone iterative technique for functional differential equations with retardation and anticipation
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Explicit solutions of fractional integral and differential equations involving Erdélyi-Kober operators
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies
• A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions
• Basic Theory of Fractional Differential Equations
• Implicit Fractional Differential and Integral Equations
• A fully Hadamard and Erdélyi–Kober-type integral boundary value problem of a coupled system of implicit differential equations
• On fractional order derivatives and Darboux problem for implicit differential equations
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