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Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

100%

Zada A., Waheed H.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2020

tom 19

5-25

In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an implicit nonlinear fractional differential equations corresponding to an implicit integral boundary condition. We develop conditions for the existence and uniqueness by using the classical fixed point theorems such as Banach contraction principle and Schaefer's fixed point theorem. For stability, we utilize classical functional analysis. The main results are well illustrated with an example.

Measures of noncompactness in the study of solutions of nonlinear differential and integral equations

63%

Banaś J.

Open Mathematics

2012

tom 10

nr 6

2003-2011

The aim of this paper is to make an overview of some existence results for nonlinear differential and integral equations. Those results were obtained by the author and his co-workers during last years with some help of the technique of measures of noncompactness and a fixed point theorem of Darbo type.

Ograniczanie wyników

1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Open Mathematics

1 Banaś J.

1 Waheed H.

1 Zada A.

1 2020

1 2012

Wyniki wyszukiwania

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Measures of noncompactness in the study of solutions of nonlinear differential and integral equations