Ulam stabilities for the Darboux problem for partial fractional differential inclusions

DOI10.2478/dema-2014-0066zbMath1307.26006OpenAlexW1978259980MaRDI QIDQ488820

Mouffak Benchohra, Saïd Abbas

Publication date: 26 January 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/dema-2014-0066

zbMATH Keywords

Darboux problemfractional differential inclusionCaputo fractional order derivativeleft-sided mixed Riemann-Liouville integralUlam stabilitynonconvex valued set-valued function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

• New stability results for fractional integral equation
• Partial neutral functional integro-differential equations of fractional order with delay
• Topics in fractional differential equations
• New concepts and results in stability of fractional differential equations
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Fractional calculus for scientists and engineers.
• Ulam-Hyers stability for operatorial equations and inclusions via nonself operators
• Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Darboux problem for perturbed partial differential equations of fractional order with finite delay
• The \(p_ n\)-sequences of idempotent algebras are strictly increasing. II
• Convex analysis and measurable multifunctions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Global attractivity for fractional order delay partial integro-differential equations
• A fixed point approach to the stability of a Volterra integral equation
• Multi-valued contraction mappings in generalized metric spaces
• Ulam-Hyers Stability for Operatorial Equations
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• On the Stability of the Linear Mapping in Banach Spaces
• On fractional order derivatives and Darboux problem for implicit differential equations
• Existence of solutions of systems of partial differential equations of fractional order
• Stability of functional equations in several variables
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