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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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Mubeen Fatima, Ravi P. Agarwal, Muhammad Abbas, Pshtiwan Othman Mohammed, Madiha Shafiq and Nejmeddine Chorfi
A B-spline is defined by the degree and quantity of knots, and it is observed to provide a higher level of flexibility in curve and surface layout. The extended cubic B-spline (ExCBS) functions with new approximation for second derivative and finite diff...
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M. Mohamed, S. M. Mabrouk and A. S. Rashed
In recent times, the global community has been faced with the unprecedented challenge of the coronavirus disease (COVID-19) pandemic, which has had a profound and enduring impact on both global health and the global economy. The utilization of mathematic...
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Angel Golev, Snezhana Hristova and Asen Rahnev
In this paper an algorithm for approximate solving of a boundary value problem for a nonlinear differential equation with a special type of fractional derivative is suggested. This derivative is called a generalized proportional Caputo fractional derivat...
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Sirunya Thanompolkrang, Wannika Sawangtong and Panumart Sawangtong
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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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Abraham Efraim Rodríguez-Mata, Ricardo Luna, Jose Ricardo Pérez-Correa, Alejandro Gonzalez-Huitrón, Rafael Castro-Linares and Manuel A. Duarte-Mermoud
This paper proposes a fractional-order sliding mode controller (FOSMC) for the robust control of a nonlinear process subjected to unknown parametric disturbances. The controller aims to ensure optimal growth in photobioreactors of native microalgae invol...
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Fouad Mohammad Salama,Norhashidah Hj. Mohd Ali
It is time and memory consuming when numerically solving time fractional differential equations as it requires O(N^2) computational cost and O(NM) memory complexity. N and M are the total number of time levels and space grid points, respectively. In this...
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