On solvability of nonlinear fractional differential systems involving nonlocal initial conditions

DOI10.1002/mma.5910zbMath1479.34013OpenAlexW2970922237MaRDI QIDQ5011529

Esmail S. Abu Skhail, Mohammed M. Matar, Jehad O. Alzabut

Publication date: 27 August 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5910

zbMATH Keywords

existenceuniquenessCaputo fractional differential systemSchauder fixed point theorems

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) 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)

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Fixed point and endpoint theories for two hybrid fractional differential inclusions with operators depending on an increasing function ⋮ Existence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order ⋮ Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives ⋮ Ulam-Hyers stability of impulsive integrodifferential equations with Riemann-Liouville boundary conditions ⋮ Novel existence techniques on the generalized \(\phi\)-Caputo fractional inclusion boundary problem ⋮ On a coupled Caputo conformable system of pantograph problems ⋮ On two structures of the fractional q‐sequential integro‐differential boundary value problems ⋮ A coupled system of generalized Sturm-Liouville problems and Langevin fractional differential equations in the framework of nonlocal and nonsingular derivatives

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