A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam–Hyers type

Advances in Difference Equations

article

Nouara, Ahmed¹  Amara, Abdelkader¹  Kaslik, Eva²  Etemad, Sina⁴  Rezapour, Shahram⁴  Martinez, Francisco⁶  Kaabar, Mohammed K. A.⁷ 

[1] Laboratory of Applied Mathematics, University of Kasdi Merbah;Department of Mathematics and Computer Science, West University of Timisoara;Institute e-Austria Timisoara;Department of Mathematics, Azarbaijan Shahid Madani University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Applied Mathematics and Statistics, Technological University of Cartagena;Institute of Mathematical Sciences, Faculty of Science, University of Malaya;United Nations Relief and Works Agency (UNRWA) Palestinian Refugee Camp

关键词: Hybrid boundary problem;    Riemann–Liouville derivative;    Dhage’s technique;    Stability;   

DOI  :  10.1186/s13662-021-03502-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann–Liouville fractional derivatives and integrals of multi-orders type are derived using Dhage’s technique, which deals with a composition of three operators. After that, its stability analysis of Ulam–Hyers type and the relevant generalizations are checked. Some illustrative numerical examples are provided at the end to illustrate and validate our obtained results.

【 授权许可】

CC BY