On a Nonlinear Fractional Differential Equation on Partially Ordered Metric Spaces
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Abstract
In this paper, by using a fixed point result on ordered metric spaces, we prove the existence and uniqueness of a solution of the nonlinear fractional differential equation (, ) via the periodic boundary condition , where and is a continuous increasing function and denotes the Caputo fractional derivative of order alpha. Also, we solve it by using the anti-periodic boundary conditions with and with and separately.
Description
Mohammadi, Hakimeh/0000-0002-7492-9782
Keywords
Fractional Differential Equations, Economics, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Fixed Point Theorems in Metric Spaces, Differential equation, FOS: Mathematics, Fixed-point theorem, Nonlinear Equations, Functional Differential Equations, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Algebra and Number Theory, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Fractional calculus, Partial differential equation, Fixed point, Fractional Derivatives, Function (biology), Modeling and Simulation, Physical Sciences, Nonlinear system, Geometry and Topology, Uniqueness, Metric space, Analysis, Mathematics, Ordinary differential equation, Finance, Nonlinear boundary value problems for ordinary differential equations, Fractional ordinary differential equations, Fixed-point and coincidence theorems (topological aspects)
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram, "On a nonlinear fractional differential equation on partially ordered metric spaces", Advances In Difference Equations, (2013)
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2013
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