Abstract
In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with three-point boundary conditions. An existence result is established by using a generalization of Krasnosel’skiĭ’s fixed point theorem. An example illustrating the main result is also constructed.
Highlights
Differential equations of fractional order have recently received a lot of attention and constitute a significant branch of nonlinear analysis, because some real world problems in physics, mechanics and other fields can be described better with the help of fractional differential equations
Hybrid fractional differential equations involve the fractional derivative of an unknown function hybrid with the nonlinearity depending on it
In [39], an initial value problem was studied for hybrid fractional differential equations containing a ψ-Hilfer fractional derivative of the form
Summary
Differential equations of fractional order have recently received a lot of attention and constitute a significant branch of nonlinear analysis, because some real world problems in physics, mechanics and other fields can be described better with the help of fractional differential equations. In 2010, Dhage and Lakshmikantham [30] initiated the study of initial value problems for first order hybrid differential equation of the form:. In [31], the authors proved the existence of solutions for a nonlocal boundary value problem of hybrid fractional integro-differential equations given by n. For recent papers on hybrid boundary value problems of fractional differential equations and inclusions, we refer to [36,37,38] and references cited therein. In [39], an initial value problem was studied for hybrid fractional differential equations containing a ψ-Hilfer fractional derivative of the form. We study a three-point ψ-Hilfer hybrid fractional integro-differential nonlocal boundary value problem of the form.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
