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.
Caputo derivation, Legendre multiwavelet, system of multiterm fractional integro-differential equations
REZAPOUR, SHAHRAM; SAKAR, FETHİYE MÜGE; AYDOĞAN, SEHER MELİKE; and RAVASH, ELAHE
"Some results on a system of multiterm fractional integro-differential equations,"
Turkish Journal of Mathematics: Vol. 44:
6, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss6/4