On Ulam–Hyers–Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions

Advances in Difference Equations

article

Ben Chikh, Salim¹  Amara, Abdelkader¹  Etemad, Sina²  Rezapour, Shahram³ 

[1] Laboratory of Applied Mathematics, University of Kasdi Merbah;Department of Mathematics, Azarbaijan Shahid Madani University;Institute of Research and Development, Duy Tan University;Faculty of Natural Sciences, Duy Tan University;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Multi-order fractional differential equation;    Generalized Caputo type derivative;    Ulam–Hyers stability;    Ulam–Hyers–Rassias stability;   

DOI  :  10.1186/s13662-020-03139-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this research article, we turn to studying the existence and different types of stability such as generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability of solutions for a new modeling of a boundary value problem equipped with the fractional differential equation which contains the multi-order generalized Caputo type derivatives furnished with four-point mixed generalized Riemann–Liouville type integro-derivative conditions. At the end of the current paper, we formulate two illustrative examples to confirm the correctness of theoretical findings from computational aspects.

【 授权许可】

CC BY