Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

DOI10.31197/atnaa.501118zbMath1438.34017OpenAlexW2968066718WikidataQ128147525 ScholiaQ128147525MaRDI QIDQ5228684

Abdelouaheb Ardjouni, Ahcene Djoudi

Publication date: 12 August 2019

Published in: Advances in the Theory of Nonlinear Analysis and its Application (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31197/atnaa.501118

zbMATH Keywords

existencefixed point theoremsnonlocal conditionsuniquenesimplicit fractional differential equationsCaputo-Hadamard fractional derivatives

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Abstract integral equations, integral equations in abstract spaces (45N05) Fractional ordinary differential equations (34A08)

Related Items (5)

On Caputo-Hadamard type coupled systems of nonconvex fractional differential inclusions ⋮ Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Several New Integral Inequalities via Caputo k-Fractional Derivative Operators

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