Solution of Higher Order Fractional Delay Differential Equations Using Darbo Type Fixed Point Theorem
Keywords:
Darbo fixed point theorem, Fractional Dealy Differential Equation, Adomian Decomposition MethodAbstract
In this work, we combine measure non-compactness and generalised operators in the setting of partial order Banach spaces to provide some generalised Darbo-type fixed point theorems. We further demonstrate how our findings could potentially applied in reality by establishing that higher-order fractional delay differential equations have solutions. We back up our results with numerical
estimations based on a realistic scenario. This work explores fixed point theory in the context of partial order Banach spaces and shows how it can possibly used in real-world situations through realistic examples and facts.
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