Integral equations and initial value problems for nonlinear differential equations of fractional order (Q1006687)
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scientific article; zbMATH DE number 5532898
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral equations and initial value problems for nonlinear differential equations of fractional order |
scientific article; zbMATH DE number 5532898 |
Statements
Integral equations and initial value problems for nonlinear differential equations of fractional order (English)
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25 March 2009
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The paper is concerned with developing existence and uniqueness theory for certain nonlinear integral and integro-differential equations of Volterra and Abel type that arise when the Caputo fractional derivative is used. Following preliminaries, in which the necessary definitions are introduced, the paper presents a series of theorems on existence and uniqueness of solutions under appropriate conditions.
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integral equations
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nonlinear equations
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existence and uniqueness theory
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Caputo-type fractional derivative
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