Existence of solutions of impulsive boundary value problems for singular fractional differential systems

Liu, Yuji

Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 405-444

Abstract (VO)

A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point theorem: Leray-Schauder Nonlinear Alternative (Lemma 2.1). An example is given to illustrate the efficiency of the main theorems, see Example 5.1.

Détail

DOI : 10.21136/MB.2017.0029-14

Classification : 26A33, 34A08, 34B15, 34B16, 34B37, 39B99, 45G10
Keywords: singular fractional differential system; impulsive boundary value problem; fixed point theorem

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