Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative
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چکیده
منابع مشابه
Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative
This paper is concerned with a nonlinear fractional differential equation involving Caputo derivative. By constructing the upper and lower control functions of the nonlinear term without any monotone requirement and applying the method of upper and lower solutions and the Schauder fixed point theorem, the existence and uniqueness of positive solution for the initial value problem are investigat...
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This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some ot...
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In this paper, the method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution for a class of nonlinear fractional differential equations with non-monotone term. An example is also given to illuminate our results. 2000 MSC: 34B15 • 34B18
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We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with dependence on a real parameter ρ. We present sufficient and necessary conditions of first and second order to determine the extremizers of a functiona...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2012
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2012/425408