On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

Journal of Taibah University for Science

卷:16

J. Alzabut¹  C. Tunç²  M. Subramanian³  T. N. Gopal⁴  M. Manigandan⁴ 

[1] Department of Mathematics and General Sciences, Prince Sultan University;

[2] Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University;

[3] Department of Mathematics, KPR Institute of Engineering and Technology;

[4] Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science;

关键词: caputo derivatives;    sequential derivatives;    fractional differential equations (fdes);    inclusions;    coupled system;    existence;    fixed point;   

DOI  :  10.1080/16583655.2021.2010984

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown