Fractional integration operator for numerical solution of the integro-partial time fractional diffusion heat equation with weakly singular kernel
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557117500711
Abstract: In this paper, an approximate solution for solving weakly singular kernel partial integro-differential equations with time fractional order is proposed. The method is based on using a second-order time difference approximation followed by applying the… read more here.
Keywords: singular kernel; time fractional; time; solution ... See more keywords
On linear viscoelasticity within general fractional derivatives without singular kernel
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DOI: 10.2298/tsci170308197g
Abstract: The Riemann-Liouville and Caputo-Liouville fractional derivatives without singular kernel are proposed as mathematical tools to describe the mathematical models in line viscoelasticity in the present article. The fractional mechanical models containing the Maxwell and Kelvin-Voigt… read more here.
Keywords: without singular; singular kernel; linear viscoelasticity; fractional derivatives ... See more keywords
An Efficient Analytical Approach to Investigate Fractional Caudrey-Dodd-Gibbon Equations with Non-Singular Kernel Derivatives
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DOI: 10.3390/sym15040850
Abstract: Fractional calculus is at this time an area where many models are still being developed, explored, and used in real-world applications in many branches of science and engineering where non-locality plays a key role. Although… read more here.
Keywords: non singular; caudrey dodd; dodd gibbon; singular kernel ... See more keywords