Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions

DOI10.1186/s13662-020-02747-1zbMath1482.34038OpenAlexW3035348522MaRDI QIDQ2078484

Sotiris K. Ntouyas, Jessada Tariboon, Athasit Wongcharoen

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02747-1

zbMATH Keywords

fixed point theoryboundary value problemsexistence and uniquenessRiemann-Liouville fractional derivativeCaputo fractional derivativeHilfer fractional derivativepantograph fractional differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (10)

On a new structure of the pantograph inclusion problem in the Caputo conformable setting ⋮ Existence results for Riemann-Liouville fractional integro-differential inclusions with fractional nonlocal integral boundary conditions ⋮ Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via \(\psi\)-Hilfer fractional derivative ⋮ Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann-Stieltjes integral multi-strip boundary conditions ⋮ Solvability for a system of Hadamard-type hybrid fractional differential inclusions ⋮ Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions ⋮ Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions ⋮ Existence results for a nonlocal coupled system of sequential fractional differential equations involving \(\psi\)-Hilfer fractional derivatives ⋮ Existence results for sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions ⋮ Impulsive stochastic differential equations involving 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
• Convex analysis and measurable multifunctions
• Random differential equations in science and engineering
• Existence of solutions of nonlinear fractional pantograph equations
• Multi-valued contraction mappings in generalized metric spaces
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
• Extensions and selections of maps with decomposable values
• Basic Theory of Fractional Differential Equations
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