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Finite Difference Approximation for the Space-Time Fractional Linear Diffusion Equation Involving the Caputo-Hadamard Fractional Derivative
In this paper, we provide an accurate numerical solution for space-time fractional linear diffusion equation involving the fractinal Caputo-Hadamard...
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A novel definition of the caputo fractional finite difference approach for Maxwell fluid
This paper focuses on modeling and analyzing a nonlinear fractional Maxwell fluid across a vertical plate using a novel definition of the Caputo...
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Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives
In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and...
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A binary Caputo–Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation
The fractional Cattaneo equation based on the Caputo–Fabrizio derivative is commonly utilized in physical science due to its hyperbolic property and...
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Pseudospectral analysis for multidimensional fractional Burgers equation based on Caputo fractional derivative
This study presents the Chebyshev pseudospectral approach in time and space to approximate a solution to the time-fractional multidimensional Burgers...
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Existence and asymptotic behaviors of nonlinear neutral Caputo nabla fractional difference equations
In this paper, we consider a nonlinear neutral Caputo nabla fractional difference equation. In the analysis, we use the nabla discrete Mittag–Leffler...
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On the chaotic nature of the Rabinovich system through Caputo and Atangana–Baleanu–Caputo fractional derivatives
The Rabinovich system can describe different physical interactions, including waves in plasmas, a convective fluid flow inside a rotating ellipsoid,...
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On Hybrid Caputo-Proportional Fractional Differential Inclusions in Banach Spaces
We investigate the existence of solutions for a nonlinear fractional differential inclusion in a sense of hybrid Caputo-proportional fractional...
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On Taylor’s formulas in fractional calculus: overview and characterization for the Caputo derivative
This paper discusses some aspects of Taylor’s formulas in fractional calculus, focusing on use of Caputo’s definition. Such formulas consist of a...
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A robust stability criterion in the one-dimensional subdiffusion equation with Caputo–Fabrizio fractional derivative
In this paper, we present a robust stability criterion for the one-dimensional subdiffusion equation with Caputo–Fabrizio fractional derivative. The...
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On the partial stability of nonlinear impulsive Caputo fractional systems
In this work, stability with respect to part of the variables of nonlinear impulsive Caputo fractional differential equations is investigated. Some...
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Existence and Hyers–Ulam Stability of Jerk-Type Caputo and Hadamard Mixed Fractional Differential Equations
This article is concerned with existence of mild solutions for jerk-type fractional differential equations in the sense of Hadamard and Caputo...
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Discrete Caputo Delta Fractional Economic Cobweb Models
In this paper, we consider discrete Caputo delta fractional economic cobweb models. To be more specific, we first discuss some properties of discrete...
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Mathematical Modelling of HIV/AIDS Treatment Using Caputo–Fabrizio Fractional Differential Systems
The focus of this study lies in develo** and evaluating a Caputo–Fabrizio fractional derivative model that encapsulates the dynamics of the...
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A Fully Finite Difference Scheme for Time-Fractional Telegraph Equation Involving Atangana Baleanu Caputo Fractional Derivative
In this paper, a fully finite difference scheme is studied for an Atangana Baleanu Caputo (ABC) derivative time fractional Telegraph equation (TFTE)...
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Some novel analyses of the Caputo-type singular three-point fractional boundary value problems
In this article, we consider singular three-point second-order boundary value problems in the sense of the Caputo fractional derivatives. We derive...
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Oscillation and Nonoscillation Results for the Caputo Fractional q-Difference Equations and Inclusions
The paper deals with the existence, oscillation, and nonoscillation of solutions to some classes of Caputo fractional q -difference equations and...