Weak solutions for hyperbolic partial fractional differential inclusions in Banach spaces

DOI10.1016/j.camwa.2011.12.055zbMath1268.35122OpenAlexW2083451442MaRDI QIDQ356305

Fatima-Zohra Mostefai, Mouffak Benchohra, Johnny Henderson

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.055

zbMATH Keywords

weak solutionhyperbolic differential inclusionBanach spacemeasure of weak noncompactnessCaputo fractional derivativeleft-sided mixed Pettis integral

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

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On partial fractional Sturm-Liouville equation and inclusion ⋮ A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability ⋮ On the stability of a hyperbolic fractional partial differential equation ⋮ Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations ⋮ Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies ⋮ Unnamed Item ⋮ Fractional differential inclusions of Hilfer type under weak topologies in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Fixed-point theory for weakly sequentially continuous mappings
• On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order
• Darboux problem for perturbed partial differential equations of fractional order with finite delay
• On the application of measure of noncompactness to existence theorems
• On the Cauchy problem for ordinary differential equations in Banach spaces
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• On Integration in Vector Spaces