Abstract
In this paper, we discuss the existence of solutions to nonlocal initial value problem for differential equations with Hilfer fractional derivative. To begin with, we establish an equivalent mixed type integral equation for our problem. Then, we utilize basic properties of Hilfer fractional calculus and fixed point methods to derive three fundamental existence results in the weighted space of continuous functions. Some examples are given to illustrate our results.
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.
