Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions

Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions

In this article, we discuss the existence of at least one solution as well as uniqueness for a nonlinear fractional differential equation with weighted initial data and nonlocal conditions. The existence of at least one L1 and continuous solution will be proved under the Carathèodory conditions via...

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Bibliographic Details
Main Author: F.M. Gaafar
Format: Article
Language:English
Published: SpringerOpen 2014-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Nonlinear fractional problem
Riemann–Liouville fractional derivative
Weighted Cauchy problem
Nonlocal condition
Schauder fixed point theorem
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13001491

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http://www.sciencedirect.com/science/article/pii/S1110256X13001491

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