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Impulsive nabla fractional difference equations
Fractional Differential Calculus, 2022 Summary: This article deals with the study of impulsive nabla fractional difference equations. First, we present afirst-order initial value problem (IVP) on impulsive nabla difference equations and write its equivalent sum equation. To illustrate the proposed procedure, we provide an example.
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Advances in Difference Equations, 2018 The exact solution of fractional telegraph partial differential equation of nonlocal boundary value problem is obtained. The theorem of stability estimates is presented for this equation.
Mahmut Modanlı
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Fractional ${q}$-difference equations on the half line [PDF]
Archivum Mathematicum, 2020 Summary: This article deals with some results about the existence of solutions and bounded solutions and the attractivity for a class of fractional \(q\)-difference equations. Some applications are made of Schauder fixed point theorem in Banach spaces and Darbo fixed point theorem in Fréchet spaces.
Abbas, Saïd +3 more
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Abstract and Applied Analysis, 2010 The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
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Phase oscillations in superfluid 3He-B weak links [PDF]
, 2000 Oscillations in quantum phase about a mean value of $\pi$, observed across micropores connecting two \helium baths, are explained in a Ginzburg-Landau phenomenology. The dynamics arises from the Josephson phase relation,the interbath continuity equation,
Fantoni, S. +3 more
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Entropy, 2020 This paper presents integer and linear time-invariant fractional order (FO) models of a closed-loop electric individual-wheel drive implemented on an autonomous platform. Two discrete-time FO models are tested: non-commensurate and commensurate.
Marcin Bąkała +4 more
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Numerical solution for space and time fractional order Burger type equation
Alexandria Engineering Journal, 2018 In this paper, we study the fractional differential operators thereby considering the space and time order Burger type equation with initial condition. The extended finite difference method which is based on shifted Grünwald, Caputo and Riemann formulas ...
Asıf Yokus
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Advances in Difference Equations, 2021 By means of ς fractional sum operator, certain discrete fractional nonlinear inequalities are replicated in this text. Considering the methodology of discrete fractional calculus, we establish estimations of Gronwall type inequalities for unknown ...
Zareen A. Khan +3 more
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Advances in Difference Equations, 2017 In this paper, we solve two-dimensional modified anomalous fractional sub-diffusion equation using modified implicit finite difference approximation. The stability and convergence of the proposed scheme are analyzed by the Fourier series method.
Umair Ali +2 more
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MOND-like Fractional Laplacian Theory
, 2020 I provide a derivation of some characteristic effects of Milgrom's modified Newtonian dynamics (MOND) from a fractional version of Newton's theory based on the fractional Poisson equation.
Giusti, Andrea
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