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Analysis of implicit system of fractional order via generalized boundary conditions
Journal article   Peer reviewed

Analysis of implicit system of fractional order via generalized boundary conditions

Mehboob Alam, Aftab Khan and Muhammad Asif
Mathematical methods in the applied sciences, Vol.46(9), pp.10554-10571
06/2023
DOI: https://doi.org/10.1002/mma.9139

Abstract

existence green function implicit fractional differential equation Riemann–Liouville fractional derivative Ulam–Hyers stability
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.

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