Darboux problem for fractional-order discontinuous hyperbolic partial differential equations in Banach algebras

DOI10.1080/17476933.2011.555542zbMath1235.26006OpenAlexW2088496936MaRDI QIDQ3119102

Saïd Abbas, Boualem Attou Slimani, Gaston Mandata N'Guérékata, Mouffak Benchohra

Publication date: 7 March 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.555542

zbMATH Keywords

fixed pointsolutionextremal solutionsDarboux problemfractional orderlower solutionupper solutionleft-sided mixed Riemann-Liouville integralCaputo fractional-order derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

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Cites Work

• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Darboux problem for perturbed partial differential equations of fractional order with finite delay
• The method of upper, lower solutions and hyperbolic partial differential equations
• Existence results for fractional order functional differential equations with infinite delay
• Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
• Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces
• Existence results for boundary value problems with non-linear fractional differential equations
• On the structure of the set of solutions of the Darboux problem for hyperbolic equations
• Monotone methods for systems of nonlinear hyperbolic problems in two independent variables
• Some algebraic fixed point theorems for multi-valued mappings with applications
• Existence of solutions of systems of partial differential equations of fractional order

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