New Existence Results for Nonlinear Fractional Integrodifferential Equations
This paper discusses a boundary value problem of nonlinear fractional integrodifferential equations of order 1<α≤2 and 1<β≤2 and boundary conditions of the form x0=x1=Dcβx1=Dcβx0=0. Some new existence and uniqueness results are proposed by using the fixed point theory. In particular, we make u...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5525591 |
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| Summary: | This paper discusses a boundary value problem of nonlinear fractional integrodifferential equations of order 1<α≤2 and 1<β≤2 and boundary conditions of the form x0=x1=Dcβx1=Dcβx0=0. Some new existence and uniqueness results are proposed by using the fixed point theory. In particular, we make use of the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem under some weak conditions. Moreover, two illustrative examples are studied to support the results. |
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| ISSN: | 1687-9120 1687-9139 |