Existence and stability results for \(\psi\)-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions

DOI10.3934/math.2021244OpenAlexW3128716026MaRDI QIDQ2144889

Sotiris K. Ntouyas, Chatthai Thaiprayoon, Weerawat Sudsutad

Publication date: 17 June 2022

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

Full work available at URL: https://doi.org/10.3934/math.2021244

zbMATH Keywords

existenceuniquenessnonlocal boundary condition\(\psi\)-Hilfer fractional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (10)

Some new results for \(\psi\)-Hilfer fractional pantograph-type differential equation depending on \(\psi\)-Riemann-Liouville integral ⋮ Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative ⋮ Boundary value problems for Hilfer type sequential fractional differential equations and inclusions involving Riemann-Stieltjes integral multi-strip boundary conditions ⋮ Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative ⋮ A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators ⋮ On a New Class of Impulsive η-Hilfer Fractional Volterra-Fredholm Integro-Differential Equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence results for \(\psi\)-Hilfer fractional integro-differential hybrid boundary value problems for differential equations and inclusions

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