2012 Special Issue: Nonlinear dynamics and chaos in fractional-order neural networks

Positive solutions of nonlinear fractional differential equations with integral boundary value conditions

Abstract Recently, in series of papers we have proposed different concepts of solutions of impulsive fractional differential equations (IFDE). This paper is a survey of our main results about IFDE. We present several types of such equations with various boundary value conditions as well. Concept of solutions, existence results and examples are presented. Proofs are only sketched.

A survey on impulsive fractional differential equations

https://www.kau.edu.sa/Files/130/Researches/60166_30987.pdf

On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order

This paper is concerned with the existence of mild solutions for a class of impulsive fractional partial semilinear differential equations. Some errors in Mophou (2010) [2] are corrected, and some previous results are generalized.

The existence of mild solutions for impulsive fractional partial differential equations

/pdf/existence-of-solutions-for-impulsive-integral-boundary-value-75luxyodhu.pdf

Bashir Ahmad faquer

Papers

Existence of solutions for impulsive integral boundary value problems of fractional order