A study of Caputo-Hadamard-type fractional differential equations with nonlocal boundary conditions

DOI10.1155/2016/7057910zbMath1339.34014OpenAlexW2334241507WikidataQ59127114 ScholiaQ59127114MaRDI QIDQ288761

F. Blanchet-Sadri, M. Dambrine

Publication date: 27 May 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/7057910

zbMATH Keywords

Green's functionfixed point theorems

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (8)

Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line ⋮ Krawtchouk wavelets method for solving Caputo and Caputo–Hadamard fractional differential equations ⋮ Generalized sine–cosine wavelet method for Caputo–Hadamard fractional differential equations ⋮ A method for solving Caputo–Hadamard fractional initial and boundary value problems ⋮ Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions ⋮ On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems ⋮ Boundary value problems for Caputo-Hadamard fractional differential inclusions with integral conditions ⋮ On positive solutions of a system of equations generated by Hadamard fractional operators

Cites Work

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• Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations
• On Caputo modification of the Hadamard fractional derivatives
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• An existence theorem for fractional hybrid differential inclusions of Hadamard type with Dirichlet boundary conditions
• Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions
• New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions
• Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative
• A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations

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