Results 1 to 10 of about 361 (202)
Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus [PDF]
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman +2 more
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Nonlinear Engineering, 2023 A nonlinear Boussinesq equation under fractal fractional Caputo’s derivative is studied. The general series solution is calculated using the double Laplace transform with decomposition. The convergence and stability analyses of the model are investigated
Algahtani Obaid J.
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An efficient numerical technique for solving time fractional Burgers equation
Alexandria Engineering Journal, 2020 A finite difference scheme which depends on a new approximation based on an extended cubic B-spline for the second order derivative is used to calculate the numerical outcomes of time fractional Burgers equation.
Tayyaba Akram +4 more
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Results in Physics, 2021 The generalized ZK-Burgers equation has nonlinear characteristics of the governing equation and helps to understand nonlinear waves in many fluid problems of plasma mediums.
Naeem Faraz +4 more
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Series solution to fractional contact problem using Caputo’s derivative
Open Physics, 2021 In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs).
Rafiq Muhammad +7 more
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Results on the controllability of Caputo’s fractional descriptor systems with constant delays [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered.
Beata Sikora
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Analytical Solution for the Fractional Partial Differential Equations by Adomian Decomposition and Modified Decomposition Method [PDF]
Engineering and Technology Journal, 2013 In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method.
Iman Isho Gorial
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A Note on Caputo’s Derivative Operator Interpretation in Economy
Journal of Applied Mathematics, 2018 We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic ...
Hameed Ur Rehman +2 more
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On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some Filippov type existence theorems for solutions of fractional semilinear differential inclusions involving Caputo's fractional derivative in Banach spaces.
Aurelian Cernea
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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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