Journal of Function Spaces, 2022 In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform.
Arunachalam Selvam +3 more
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Fractional Euler numbers and generalized proportional fractional logistic differential equation [PDF]
, 2022 We solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are related to the Euler polynomials and Euler numbers as well ...
Nieto, Juan J., Nieto Roig, Juan José
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Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
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Modelling solute transport in soil columns using advective-dispersive equations with fractional spatial derivatives [PDF]
, 2010 Solute transport in soils is commonly simulated with the advective–dispersive equation, or ADE. It has been reported that this model cannot take into account several important features of solute movement through soil.
San Jose Martinez, Fernando
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Efficient solution of a wave equation with fractional-order dissipative terms [PDF]
, 2009 We consider a wave equation with fractional-order dissipative terms modeling viscothermal losses on the lateral walls of a duct, namely the Webster-Lokshin model.
Haddar, Houssem +6 more
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Modified fractional logistic equation [PDF]
, 2018 In the article (West, 2015), the author has obtained a function as the solution to fractional logistic equation (FLE). As demonstrated later in Area et al.
Sima Sarv Ahrabi +5 more
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On the singularities of fractional differential systems, using a mathematical limiting process based on physical grounds [PDF]
, 2009 Fractional systems are associated with irrational transfer functions for which nonunique analytic continuations are available (from some right-half Laplace plane to a maximal domain). They involve continuous sets of singularities, namely cuts, which link
Mignot, Rémi +2 more
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Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]
, 2010 A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for ...
Matignon, Denis +3 more
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, 2023 This research focuses on the analysis of the competitive model used in the banking sector based on the stochastic fractional differential equation. For the approximate solution, a pseudospectral technique is utilized for the proposed model based on the ...
Sami Ullah Khan, Ishtiaq Ali
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Solution of Space-Time-Fractional Problem by Shehu Variational Iteration Method
Advances in Mathematical Physics, 2021 In this study, we deal with the problem of constructing semianalytical solution of mathematical problems including space-time-fractional linear and nonlinear differential equations. The method, called Shehu Variational Iteration Method (SVIM), applied in
Suleyman Cetinkaya +2 more
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