On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions
By Arshad Ali, Faranak Rabiei, Kamal Shah. 2017
49 citations recorded by the source corpus.
In this manuscript, using Schaefer’s fixed point theorem, we derive some sufficient conditions for the existence of solutions to a class of fractional differential equations (FDEs). The proposed class is devoted to the impulsive FDEs with nonlinear integral boundary condition. Further, using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss various kinds of Ulam-Hyers stability. Finally to illustrate the established results, we provide an example. c ©2017 All rights reserved.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/1994c2a0a45a3c342c029a3125ae5fdb7055fcfc
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In Applied Mathematics
In Modeling and Simulation
Citations in the corpus
- Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions (2018, background): “Obviously, the right-hand side of inequality (19) goes to zero as t1 → t2.”