\(L^1\)-solutions of the boundary value problem for implicit fractional order differential equations

DOI10.1515/JAA-2021-2043zbMath1479.34015OpenAlexW3131928077MaRDI QIDQ2043462

Mohammed Said Souid, Benoumran Telli

Publication date: 2 August 2021

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2021-2043

zbMATH Keywords

boundary value problemCaputo fractional derivativeexistence fixed pointimplicit fractional order differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Cites Work

• Topics in fractional differential equations
• Fractional calculus for scientists and engineers.
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Fractional dynamics of relativistic particle
• Existence results for fractional order functional differential equations with infinite delay
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
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