Existence of an infinite system of fractional hybrid differential equations in a tempered sequence space. (English) Zbl 1509.47110
Summary: In this article, the existence of the solution of infinite system of fractional hybrid differential equations with initial conditions by reducing them to integral equations in the space \(C(I, m(\theta )^{\beta })\) is discussed based on the Darbo fixed point theorem. In the end, a suitable example to strengthen the result is included.
MSC:
| 47N20 | Applications of operator theory to differential and integral equations |
| 26A33 | Fractional derivatives and integrals |
| 45J05 | Integro-ordinary differential equations |
| 34A08 | Fractional ordinary differential equations |
Keywords:
Darbo fixed point theorem; fractional hybrid differential equation; measure of noncompactness; tempered sequence spacesReferences:
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