Some results on a system of multiterm fractional integro-differential equations

Authors

SHAHRAM REZAPOUR
FETHİYE MÜGE SAKAR
SEHER MELİKE AYDOĞAN
ELAHE RAVASH

DOI

10.3906/mat-1903-51

Abstract

In present study, we investigate the existence of solution for a multiterm fractional integro-differential system with special boundary conditions under some different conditions. In this way, we provide different results for the existence of solutions for the system and also for obtaining unique solution for the system under different conditions. We also present three numerical examplesin which by using the Legendre multiwavelet method, we approximate solutions of the system. These examples illustrate our main results.

Keywords

Caputo derivation, Legendre multiwavelet, system of multiterm fractional integro-differential equations

First Page

2004

Last Page

2020

Recommended Citation

REZAPOUR, SHAHRAM; SAKAR, FETHİYE MÜGE; AYDOĞAN, SEHER MELİKE; and RAVASH, ELAHE (2020) "Some results on a system of multiterm fractional integro-differential equations," Turkish Journal of Mathematics: Vol. 44: No. 6, Article 4. https://doi.org/10.3906/mat-1903-51
Available at: https://journals.tubitak.gov.tr/math/vol44/iss6/4