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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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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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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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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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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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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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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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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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Observability of Time-Varying Fractional Dynamical Systems with Caputo Fractional Derivative
Modeling dynamical systems with real-life data having time-dependent disturbances is better captured with time-varying systems. The qualitative...
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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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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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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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New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator
Fractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid...
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On a new version of Hermite–Hadamard-type inequality based on proportional Caputo-hybrid operator
In mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it...
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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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Delsarte equation for Caputo operator of fractional calculus
A fractional order variant of the Delsarte equation is investigated involving the Caputo differential derivative. Solvability of the resulting...
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Symmetries of Fractional Guéant–Pu Model with Gerasimov–Caputo Time-Derivative
For the time fractional Guéant–Pu option pricing model we obtain the Lie algebra of the group of equivalence transformations, which is used to obtain...