Abstract
We present some results concerning the existence of weak solutions for some functional integral equations of Hadamard fractional order with random effects and multiple delays by applying Mönch’s and Engl’s fixed point theorems associated with the technique of measure of weak noncompactness.
Highlights
We present some results concerning the existence of weak solutions for some functional integral equations of Hadamard fractional order with random effects and multiple delays by applying Monch’s and Engl’s fixed point theorems associated with the technique of measure of weak noncompactness
Random differential equations arise in many applications and have been studied in the literature on bounded as well as unbounded internals of the real line for different aspects of the solution
The theory of fractional differential equations is a good tool for modeling such phenomena
Summary
Random differential equations arise in many applications and have been studied in the literature on bounded as well as unbounded internals of the real line for different aspects of the solution. There are real-world phenomena with anomalous dynamics such as signals transmissions through strong magnetic fields, atmospheric diffusion of pollution, network traffic, and the effect of speculations on the profitability of stocks in financial markets, where the classical models are not sufficiently good to describe these features. In this case, the theory of fractional differential equations is a good tool for modeling such phenomena. Existence of random solutions for functional differential and integral equations has extensively been studied in various papers; see [19, 20] and the references therein.
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