Analysis of implicit system of fractional order via generalized boundary conditions

Author:

Alam Mehboob1ORCID,Khan Aftab2,Asif Muhammad2

Affiliation:

1. Faculty of Engineering Sciences Ghulam Ishaq Khan Institute of Engineering Sciences and Technology Topi Pakistan

2. Department of Mathematics Government Degree College Pabbi Nowshera Nowshera Pakistan

Abstract

Our main objectives in the paper are to investigate the existence and uniqueness of solution for a class of implicit fractional‐order boundary value problem with Riemann–Liouville derivative via generalized boundary conditions. Furthermore, different kinds of Ulam stability are discussed. By giving a few examples, the key findings are demonstrated.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference46 articles.

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4. Some approximations of fractional order operators used in control theory and applications;Vintagre B. M.;Fract. Calc. Appl. Anal.,2000

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