A new collection of real world applications of fractional calculus in science and engineering
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …
discussed and applied to real world applications in many branches of science and …
Bio-heat models revisited: concepts, derivations, nondimensalization and fractionalization approaches
J Hristov - Frontiers in Physics, 2019 - frontiersin.org
The heat transfer in living tissues is an evergreen problem in mathematical modeling with
great practical importance starting from the Pennes equation postulation. This study focuses …
great practical importance starting from the Pennes equation postulation. This study focuses …
The modified Kudryashov method for solving some fractional-order nonlinear equations
In this paper, the modified Kudryashov method is proposed to solve fractional differential
equations, and Jumarie's modified Riemann-Liouville derivative is used to convert nonlinear …
equations, and Jumarie's modified Riemann-Liouville derivative is used to convert nonlinear …
A Jacobi operational matrix for solving a fuzzy linear fractional differential equation
This paper reveals a computational method based using a tau method with Jacobi
polynomials for the solution of fuzzy linear fractional differential equations of order 0< v< 1. A …
polynomials for the solution of fuzzy linear fractional differential equations of order 0< v< 1. A …
The meshless approach for solving 2D variable-order time-fractional advection–diffusion equation arising in anomalous transport
VR Hosseini, M Koushki, WN Zou - Engineering with computers, 2022 - Springer
In this paper, with the aim of extending an elegant and straightforward numerical
approximation to describe one of the most common physical phenomena has been …
approximation to describe one of the most common physical phenomena has been …
[HTML][HTML] Multi-objective planning for optimal exploitation of surface and groundwater resources through development of an optimized crop** pattern and artificial …
A multi-objective modeling platform consisting of the simulator-optimizer model_1th and
optimizer model_2th was developed in this study. HEC-HMS was used for flood routing and …
optimizer model_2th was developed in this study. HEC-HMS was used for flood routing and …
Fractional derivative approach to non-Darcian flow in porous media
HW Zhou, S Yang - Journal of hydrology, 2018 - Elsevier
Fractional Darcian model and fractional Swartzendruber model are proposed for non-
Darcian flows with high and low velocity in the paper, respectively. The analytical solutions …
Darcian flows with high and low velocity in the paper, respectively. The analytical solutions …
Numerical analysis of a new space–time variable fractional order advection–dispersion equation
Many physical processes appear to exhibit fractional order behavior that may vary with time
and/or space. The continuum of order in the fractional calculus allows the order of the …
and/or space. The continuum of order in the fractional calculus allows the order of the …
The mean value theorem and Taylor's theorem for fractional derivatives with Mittag–Leffler kernel
The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler
kernel | Advances in Continuous and Discrete Models Skip to main content SpringerLink …
kernel | Advances in Continuous and Discrete Models Skip to main content SpringerLink …
A fractional derivative perspective on transient pulse test for determining the permeability of rocks
S Yang, HW Zhou, SQ Zhang, WG Ren - International Journal of Rock …, 2019 - Elsevier
This work presents a fractional relaxation equation that, in the full respect of the time-
dependent behavior of flow transport and under appropriate simplifying assumptions, leads …
dependent behavior of flow transport and under appropriate simplifying assumptions, leads …