Study of an implicit type coupled system of fractional differential equations by means of topological degree theory

Advances in Difference Equations

Hijaz Ahmad¹  Taher A. Nofal²  Anwar Ali³  Muhammad Sarwar³  Mian Bahadur Zada³ 

[1] Department of Basic Sciences, University of Engineering and Technology, 25000, Peshawar, Pakistan;Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Roma, Italy;Department of Mathematic, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia;Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan;

关键词: Differential equations of fractional order;    Integral boundary value problem;    Topological degree theory;    34A08;    35R11;   

DOI  :  10.1186/s13662-021-03267-2

来源: Springer

【 摘 要 】

In this work, a sufficient condition required for the presence of positive solutions to a coupled system of fractional nonlinear differential equations of implicit type is studied. To study sufficient conditions essential for the existence of unique solution degree theory is used. Two examples are given to illustrate the established results.

【 授权许可】

CC BY