On (<i>k</i>,<i>ψ</i>)-Hilfer Fractional Differential Equations and Inclusions with Mixed (<i>k</i>,<i>ψ</i>)-Derivative and Integral Boundary Conditions

On (<i>k</i>,<i>ψ</i>)-Hilfer Fractional Differential Equations and Inclusions with Mixed (<i>k</i>,<i>ψ</i>)-Derivative and Integral Boundary Conditions

In this paper we study single-valued and multi-valued (<i>k</i>,<i>ψ</i>)-Hilfer-type boundary value problems of fractional order in (1,2], subject to nonlocal boundary conditions involving (<i>k</i>,<i>ψ</i>)-Hilfer-type derivative and integral operat...

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Bibliographic Details
Main Authors: Sotiris K. Ntouyas, Bashir Ahmad, Cholticha Nuchpong, Jessada Tariboon
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Axioms
Subjects:
(<i>k</i>,<i>ψ</i>)-Hilfer fractional derivative
Riemann–Liouville fractional derivative
Caputo fractional derivative
existence
uniqueness
fixed point theorems
Online Access:https://www.mdpi.com/2075-1680/11/8/403

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