Existence of solutions to boundary value problem for impulsive fractional differential equations-Reference-Cited by-同舟云学术

Existence of solutions to boundary value problem for impulsive fractional differential equations

Published:2014-06-26 Issue:3 Volume:17 Page:717-744
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Bonanno Gabriele¹,Rodríguez-López Rosana²,Tersian Stepan³

Affiliation:

1. Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166, Messina, Italy

2. Departamento de Análisis Matemático Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

3. Department of Mathematics, University of Ruse, 7017, Ruse, Bulgaria

Abstract

Abstract In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fractional order differential equations. The notions of classical and weak solutions are introduced. Then, existence results of at least one and three solutions are proved.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-014-0196-y.pdf

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