Existence and stability results for nonlocal boundary value problems of fractional order View Full Text


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Article Info

DATE

2022-04-18

AUTHORS

Vedat Suat Ertürk, Amjad Ali, Kamal Shah, Pushpendra Kumar, Thabet Abdeljawad

ABSTRACT

In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green’s function and give some estimation for it to derive our main results. The main principles applied to investigate our results are based on the Banach contraction fixed point theorem and Schauder fixed point approach. We dwell in detail on some results concerning the Hyers-Ulam (H-U) type and generalized H-U (g-H-U) type stability also for problem we are considering. We justify our results with an illustrative example. More... »

PAGES

25

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13661-022-01606-0

DOI

http://dx.doi.org/10.1186/s13661-022-01606-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1147193499


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