On coupled systems for Hilfer fractional differential equations with nonlocal integral boundary conditions

DOI10.1155/2020/2875152zbMath1489.34023OpenAlexW3042406757MaRDI QIDQ2194659

Jessada Tariboon, Sotiris K. Ntouyas, Athasit Wongcharoen

Publication date: 7 September 2020

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

Full work available at URL: https://doi.org/10.1155/2020/2875152

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 (6)

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via \(\psi\)-Hilfer fractional derivative ⋮ Hilfer fractional differential inclusions with Erdélyi-Kober fractional integral boundary condition ⋮ A generalized neutral-type inclusion problem in the frame of the generalized Caputo fractional derivatives ⋮ Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions ⋮ Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions ⋮ Existence results for a nonlocal coupled system of sequential fractional differential equations involving \(\psi\)-Hilfer fractional derivatives

Cites Work

• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Existence results of Hilfer integro-differential equations with fractional order
• Basic Theory of Fractional Differential Equations
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