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Assesses the strong solution of a fractional diffusion equation, suggesting effective numerical methods.
This paper presents a diffusion equation involving αᵗʰ order Riemann-Liouville (R-L) fractional integral along with integral forcing function for delay and some constant coefficients. We apply $L2$ scheme to discretize the fractional integral function and Rothe's method is opted to establish the existence and uniqueness of a strong solution. In addition, we provide some error estimation and continuous on initial data. Eventually, we provide an application to manifest the results.
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Nishi Gupta (2024) studied this question.
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