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Weak Solutions for Fractional Differential Equations via Henstock–Kurzweil–Pettis Integrals

2019; De Gruyter; Volume: 21; Issue: 2 Linguagem: Inglês

10.1515/ijnsns-2018-0174

2191-0294

Haide Gou, Yongxiang Li,

Fixed Point Theorems Analysis

Abstract In this paper, we used Henstock–Kurzweil–Pettis integral instead of classical integrals. Using fixed point theorem and weak measure of noncompactness, we study the existence of weak solutions of boundary value problem for fractional integro-differential equations in Banach spaces. Our results generalize some known results. Finally, an example is given to demonstrate the feasibility of our conclusions.