ASYMPTOTIC STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDER

ÇAKAN Ü., OZDEMIR I.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.53, no.2, pp.256-288, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1556/012.2016.53.2.1332
  • Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.256-288
  • Keywords: Nonlinear integral equations, measure of noncompactness, asymptotic stability, Darbo fixed-point theorem, Riemann-Liouville fractional integral, NONDECREASING SOLUTIONS, MONOTONIC SOLUTIONS, LOCAL ATTRACTIVITY, VOLTERRA TYPE, ABEL TYPE, EXISTENCE, NONCOMPACTNESS, BEHAVIOR, SOLVABILITY
  • Inonu University Affiliated: Yes

Abstract

In this paper, using a Darbo type fixed point theorem associated with the measure of noncompactness we prove a theorem on the existence of asymptotically stable solutions of some nonlinear functional integral equations in the space of continuous and bounded functions on R+ = [ 0,infinity). We also give some examples satisfying the conditions our existence theorem.