Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions (Q513487)
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scientific article; zbMATH DE number 6692479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions |
scientific article; zbMATH DE number 6692479 |
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Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions (English)
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7 March 2017
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In this paper the authors establish sufficient conditions for the existence and uniqueness of solutions for a boundary value problem of fractional differential equations with nonlocal and average type integral boundary conditions. The results are obtained by using the Leray-Schauder nonlinear alternative, Krasnoselskii's fixed point theorem and Banach's fixed point theorem together with Hölder inequality. Examples are provided to illustrate the theory.
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fractional differential equation
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nonlocal integral condition
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existence and uniqueness of solutions
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fixed point theorems
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