Partial neutral functional integro-differential equations of fractional order with delay

DOI10.1186/1687-2770-2012-128zbMath1278.26006OpenAlexW2135138048WikidataQ59272338 ScholiaQ59272338MaRDI QIDQ384541

Alberto Cabada, Mouffak Benchohra, Saïd Abbas

Publication date: 28 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-128

zbMATH Keywords

fixed pointsolutioninfinite delayintegro-differential equationfinite delayleft-sided mixed Riemann-Liouville integral of fractional orderCaputo fractional-order derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (10)

Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses ⋮ Functional implicit hyperbolic fractional order differential equations with delay ⋮ Fractional partial random differential equations with state-dependent delay ⋮ Some results for a class of delayed fractional partial differential equations with Caputo–Hadamard derivative ⋮ Analytical solutions for multi-term time-space coupling fractional delay partial differential equations with mixed boundary conditions ⋮ Ulam-Hyers stability for the Darboux problem for partial fractional differential and integro-differential equations via Picard operators ⋮ Ulam stabilities for the Darboux problem for partial fractional differential inclusions ⋮ New stability results for partial fractional differential inclusions with not instantaneous impulses ⋮ Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay ⋮ Unnamed Item

Cites Work

• Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay
• Darboux problem for perturbed partial differential equations of fractional order with finite delay
• The method of upper, lower solutions and hyperbolic partial differential equations
• Weighted norms and existence and uniqueness of \(L^ p\) solutions for integral equations in several variables
• Systems of multidimensional volterra integral equations and inequalities
• Equations with unbounded delay: a survey
• Existence of solutions of systems of partial differential equations of fractional order
• On the Darboux problem for partial differential-functional equations with infinite delay at derivatives

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