Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions

DOI10.1016/J.JOEMS.2013.12.008zbMath1306.34007OpenAlexW1968354651MaRDI QIDQ467053

Fatma M. Gaafar

Publication date: 3 November 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.12.008

zbMATH Keywords

nonlocal conditionSchauder fixed point theoremRiemann-Liouville fractional derivativenonlinear fractional problemweighted Cauchy problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (1)

Existence of solutions of generalized fractional differential equation with nonlocal initial condition

Cites Work

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• Semilinear evolution inclusions with nonlocal conditions
• First-order differential inclusions with nonlocal initial conditions
• Fractional equations of Volterra type involving a Riemann-Liouville derivative
• Power-type estimates for a nonlinear fractional differential equation
• Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
• Weighted Cauchy-type problem of a functional differ-integral equation

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