Results 41 to 50 of about 778 (152)
Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations
Mathematics, 2016 Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
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Collocation based approximations for a class of fractional boundary value problems
Mathematical Modelling and Analysis, 2023 A boundary value problem for fractional integro-differential equations with weakly singular kernels is considered. The problem is reformulated as an integral equation of the second kind with respect to, the Caputo fractional derivative of y of order α ...
Hanna Britt Soots +2 more
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Advances in Difference Equations, 2021 In this paper, we prove two results concerning the existence of S-asymptotically ω-periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order 1 < α < 2 ...
Zainab Alsheekhhussain +2 more
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Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations
International Journal of Analysis and Applications, 2014 In this paper, we consider the existence of square-mean piecewise almost periodic solutions for impulsive fractional stochastic evolution equations involving Caputo fractional derivative.
Toufik Guendouzi, Lamia Bousmaha
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Results in Applied MathematicsThis study presents a numerical hybrid strategy for deriving approximate solutions to the one- and two-dimensional fractional Rayleigh–Stokes equations involving the Caputo derivative.
M. Hosseininia +3 more
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A New Variant of B-Spline for the Solution of Modified Fractional Anomalous Subdiffusion Equation
Journal of Function Spaces, 2021 The objective of this paper is to present an efficient numerical technique for solving time fractional modified anomalous subdiffusion equation. Anomalous diffusion equation has its role in various branches of biological sciences. B-spline is a piecewise
M. S. Hashmi +7 more
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On piecewise-polynomial approximation of functions with a bounded fractional derivative in an L-norm
Journal of Approximation Theory, 1990 The author studies the error in approximating functions with a bounded \((r+\alpha)th\) derivative in an L-norm. Here r is a nonnegative integer, \(\alpha\in [0,1)\), and \(f^{(r+\alpha)}\) is the classical fractional derivative. The author proves that, for any such function f, there exists a piecewise-polynomial of degree s that interpolates f at n ...
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Alexandria Engineering JournalIn this paper, a new type of piecewise fractional derivative (PFD) is introduced. The ordinary and distributed-order fractional derivatives in the Caputo sense are used to define this type of PFD.
M.H. Heydari, D. Baleanu, M. Bayramu
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A Mathematical Model of COVID-19 Using Piecewise Derivative of Fractional Order
European Journal of Pure and Applied MathematicsCurrently the dynamical systems of infectious disease were studied by using various definitions of fractional calculus. Because the mentioned area has the ability to demonstrate the short and long memory terms involve in the physical dynamics of numerous real world problems.
Shabana Naz +4 more
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Stability of solutions to impulsive Caputo fractional differential equations
Electronic Journal of Differential Equations, 2016 Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal +2 more
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