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Yuriy Povstenko, Tamara Kyrylych, Bozena Wozna-Szczesniak and Andrzej Yatsko
The central-symmetric time-fractional heat conduction equation with heat absorption is investigated in a solid with a spherical hole under time-harmonic heat flux at the boundary. The problem is solved using the auxiliary function, for which the Robin-ty...
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Ravi Agarwal, Snezhana Hristova, Donal O?Regan and Kremena Stefanova
The initial value problem for a special type of scalar nonlinear fractional differential equation with a Riemann?Liouville fractional derivative is studied. The main characteristic of the equation is the presence of the supremum of the unknown function o...
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Dmitry Gritsenko and Roberto Paoli
Fractional calculus is a relatively old yet emerging field of mathematics with the widest range of engineering and biomedical applications. Despite being an incredibly powerful tool, it, however, requires promotion in the engineering community. Rheology ...
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Dmitry Gritsenko and Roberto Paoli
Pipe flow is one of the most commonly used models to describe fluid dynamics. The concept of fractional derivative has been recently found very useful and much more accurate in predicting dynamics of viscoelastic fluids compared with classic models. In t...
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Khalid Hattaf
This paper proposes a new definition of fractional derivative with non-singular kernel in the sense of Caputo which generalizes various forms existing in the literature. Furthermore, the version in the sense of Riemann?Liouville is defined. Moreover, fun...
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Nabiullah Khan,Shorab Wali Khan
Pág. 15 - 19
In several areas of mathematical physics and engineering sciences, integral transforms and fractional calculus operators play an important role from the application point of view. A remarkably large number of integral transforms ...
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