On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order. Issue 1 (31st December 2022)

• Record Type: Journal Article
• Authors: Subramanian, M.; Manigandan, M.; Tunç, C.; Gopal, T. N.; Alzabut, J.
• Is Part Of: Journal of Taibah University for science. Volume 16:Issue 1(2022)
• Page Start: 1
• Page End: 23
• Publication Date: 2022-12-31
• Subjects: Caputo derivatives -- sequential derivatives -- fractional differential equations (FDEs) -- inclusions -- coupled system -- existence -- fixed point; 26A33 -- 34A08 -- 34B15; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2021.2010984
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract : We investigate a new class of boundary value problems of a nonlinear coupled system of sequential fractional differential equations and inclusions involving Caputo fractional derivatives and boundary conditions. We use standard fixed-point theory tools to deduce sufficient criteria for the existence and uniqueness of solutions to the problems at hand. Examples are discussed to illustrate the validity of the proposed results.