Existence and attractivity results for some fractional order partial integro-differential equations with delay

zbMath1282.26006MaRDI QIDQ388742

Saïd Abbas, Mouffak Benchohra, Tocka Diagana

Publication date: 6 January 2014

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1388953704

zbMATH Keywords

left-sided mixed Riemann-Liouville integral of fractional orderCaputo fractional-order derivativefunctional integro-differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Singular nonlinear integral equations (45G05)

Related Items

Attractivity of implicit differential equations with composite fractional derivative, Fractional ${q}$-difference equations on the half line, A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type, Some existence results and stability concepts for partial fractional random integral equations with multiple delay, Existence and attractivity results for Hilfer fractional differential equations, Existence and attractivity results for ѱ-Hilfer hybrid fractional differential equations, A novel approach for solving multi-term time fractional Volterra-Fredholm partial integro-differential equations

Cites Work

• Partial hyperbolic differential equations with finite delay involving the Caputo fractional derivative
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the set of solutions of fractional order Riemann–Liouville integral inclusions
• Integral equations arising in the kinetic theory of gases
• Existence of solutions of systems of partial differential equations of fractional order
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