Weak solutions for hyperbolic partial fractional differential equations in Banach spaces

被引：0
作者：
Benchohra M. [1 ]
Mostefai F.-Z. [2 ]
Nieto J.J. [3 ]
机构：
[1] Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, 22000 Sidi Bel-Abbès
[2] Département de Mathématiques, Université de Saida, 20000 Saida, BP 138, Cité Ennasr
[3] Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, Santiago de Compostela
来源：
Afrika Matematika | 2014年 / 25卷 / 3期
关键词：
Banach space; Caputo fractional derivative; Hyperbolic differential equation; Left sided mixed Pettis integral; Measure of weak noncompactness; Weak solution;
D O I：
10.1007/s13370-013-0140-z
中图分类号：
学科分类号：
摘要：
This paper is devoted to study the existence of solutions under the Pettis integrability assumption for an initial value problem for a hyperbolic differential equation of fractional order, involving the Caputo fractional derivative. We use the measure of weak noncompactness and Mönch's fixed point theorem. © 2013 African Mathematical Union and Springer-Verlag Berlin Heidelberg.
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页码：605 / 615
页数：10
相关论文
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