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Fractional HIV infection model described by the Caputo derivative with real data
The goal of this research is to explore the HIV infection model through Caputo derivative in considerable detail. We employ a non-local fractional...
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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 a robust stability criterion in the subdiffusion equation with Caputo–Dzherbashian fractional derivative
This paper presents a robust stability criterion for the subdiffusion equation with Caputo–Dzherbashian fractional derivative. The criterion is...
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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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Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative
In this paper, continuous cobweb models with a generalized Caputo derivative called Caputo–Katugampola are investigated for both supply and demand...
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Study of existence results for fractional functional differential equations involving Riesz-Caputo derivative
Within this work, we look into the existence results for a family of fractional functional differential equations employing the Riesz-Caputo...
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A fractional order human papillomavirus model with Caputo derivative
In this article, a fractional order Human papillomavirus infection model with the impact of vaccination is presented with Caputo sense. The basic...
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Boundary-Value Problems of Fractional-Differential Consolidation Dynamics for the Model with the Caputo–Fabrizio Derivative
Closed-form solutions are obtained to some boundary-value problems of fractional-differential filtration-consolidation dynamics with respect to the...
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Numerical solution of a class of Caputo–Fabrizio derivative problem using Haar wavelet collocation method
In this paper, we propose an efficient numerical method to solve a class of fractional differential equations with Caputo–Fabrizio fractional...
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Effective methods for numerical analysis of the simplest chaotic circuit model with Atangana–Baleanu Caputo fractional derivative
This paper comprehensively studies effective numerical methods for solving the simplest chaotic circuit model. We introduce a novel scheme for the...
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Dynamical analysis of a novel fractional order SIDARTHE epidemic model of COVID-19 with the Caputo–Fabrizio(CF) derivative
Fabrizio and Caputo suggested an extraordinary definition of fractional derivative, which has been used in many fields. The SIDARTHE infectious...
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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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Solution estimates to Caputo proportional fractional derivative delay integro-differential equations
In this article, a class of scalar generalized Caputo proportional fractional derivative delay integro-differential equations (CPFrDIDEs) with...
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Three Kinds of Discrete Formulae for the Caputo Fractional Derivative
In this paper, three kinds of discrete formulae for the Caputo fractional derivative are studied, including the modified L1 discretisation for
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Stability Analysis and Existence Criteria with Numerical Illustrations to Fractional Jerk Differential System Involving Generalized Caputo Derivative
This inquire about ponder is committed to investigating a few properties in connection to behaviors of solutions to an extended fractional structure...
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Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo...
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Discrete Approximation of Solutions of the Cauchy Problem for a Linear Homogeneous Differential-Operator Equation with a Caputo Fractional Derivative in a Banach Space
In this paper, we construct and examine the time-discretization scheme for the Cauchy problem for a linear homogeneous differential equation with the...
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Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called...
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On solvability for a class of nonlinear systems of differential equations with the Caputo fractional derivative
We prove solvability and regularity of a solution to a class of fractional nonlinear systems of differential equations with the Caputo derivative by...