An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation (Q2656580)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation |
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An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation (English)
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11 March 2021
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Summary: We study the existence of solutions for a newly configured model of a double-order integrodifferential equation including \(\varphi\)-Caputo double-order \(\varphi\)-integral boundary conditions. In this way, we use the Krasnoselskii and Leray-Schauder fixed point results. Also, we invoke the Banach contraction principle to confirm the uniqueness of the existing solutions. Finally, we provide three examples to illustrate our analytical findings.
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Caputo integral boundary conditions
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fixed point theorems
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existence of solutions
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