2021
DOI: 10.11121/ijocta.2021.1065
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On self-similar solutions of time and space fractional sub-diffusion equations

Abstract: In this paper, we have considered two different sub-diffusion equations involving Hilfer, hyper-Bessel and Erdelyi-Kober fractional derivatives. Using a special transformation, we equivalently reduce the considered boundary value problems for fractional partial differential equation to the corresponding problem for ordinary differential equation. An essential role is played by certain properties of Erd\'elyi-Kober integral and differential operators. We have applied also successive iteration method to obtain s… Show more

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“…Across the literature, one may easily be aware of the existence of plenty of research works on fractional (space, time and space-time) diffusion equations by using the similarity method. For more details, the reader may check [10,17,28].…”
Section: Introductionmentioning
confidence: 99%
“…Across the literature, one may easily be aware of the existence of plenty of research works on fractional (space, time and space-time) diffusion equations by using the similarity method. For more details, the reader may check [10,17,28].…”
Section: Introductionmentioning
confidence: 99%