Existence and Uniqueness of Solutions for Multi-Term Nonlinear Fractional Integro-Differential Equations
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Abstract
In this manuscript, by using the fixed point theorems, the existence and the uniqueness of solutions for multi-term nonlinear fractional integro-differential equations are reported. Two examples are presented to illustrate our results.
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Keywords
Caputo Fractional Derivative, Fixed Point Theorem, Multi-Term Nonlinear Fractional Differential Equation, Fractional Differential Equations, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Term (time), Differential equation, Numerical Methods for Singularly Perturbed Problems, FOS: Mathematics, Fixed-point theorem, Functional Differential Equations, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Algebra and Number Theory, Applied Mathematics, Physics, Fractional calculus, Partial differential equation, Applied mathematics, Modeling and Simulation, Physical Sciences, Nonlinear system, Uniqueness, Finite Difference Schemes, Analysis, Mathematics, Nonlinear Systems, Ordinary differential equation, fixed point theorem, Fractional ordinary differential equations, multi-term nonlinear fractional differential equation, Integro-ordinary differential equations, Fixed-point theorems, Caputo fractional derivative
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dimitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram, "Existence and Uniqueness of Solutions For Multi-Term Nonlinear Fractional Integro-Differential Equations", Advances In Difference Equations, (2013).
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15
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2013
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CrossRef : 8
Scopus : 23
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23
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