Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions
Gaafar, F. (2014). Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions. EKB Journal Management System, 22(3), 341-347.
F.M. Gaafar. "Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions". EKB Journal Management System, 22, 3, 2014, 341-347.
Gaafar, F. (2014). 'Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions', EKB Journal Management System, 22(3), pp. 341-347.
Gaafar, F. Continuous and integrable solutions of a nonlinear Cauchy problem of fractional order with nonlocal conditions. EKB Journal Management System, 2014; 22(3): 341-347.

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

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Page 341-347  XML PDF (502.83 K)
Document Type: Original Article
View on SCiNiTO View on SCiNiTO
Author
F.M. Gaafar
Faculty of Science, Damanhour University, Damanhour, Egypt
Abstract
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 Carathe`odory conditions via a classical fixed point theorem of Schauder. An example is also given to illustrate the efficiency of the main theorems.
Keywords
Nonlinear fractional problem; Riemann–Liouville fractional derivative; Weighted Cauchy problem; Nonlocal condition; Schauder fixed point theorem
Statistics
Article View: 28
PDF Download: 16