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A nonlocal problem for a mixed equation of high even order with a fractional Caputo derivative
This article considers a boundary value problem in a rectangular domain with a nonlocal condition for a high even order mixed type equation with a...
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Mittag-Leffler stability and synchronization for FOQVFNNs including proportional delay and Caputo derivative via fractional differential inequality approach
This article discusses the dynamics of Caputo fractional-order quaternion-valued fuzzy neural networks (FOQVFNNs) including proportional delay and...
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Analytical Approximate Solutions for Differential Equations with Generalized Caputo-type Fractional Derivatives
This study provides analytical approximate solutions to classes of nonlinear differential equations with generalized Caputo-type fractional...
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On the Solution of Caputo Fractional High-Order Three-Point Boundary Value Problem with Applications to Optimal Control
This research paper establishes the existence and uniqueness of solutions for a non-integer high-order boundary value problem, incorporating the...
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The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives
In this article, we use coupled boundary conditions on a nonlinear system with ψ -Caputo fractional derivatives to derive new conclusions on 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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Inverse Coefficient Problem for a Fractional-Diffusion Equation with a Bessel Operator
AbstractThe second initial-boundary value problem in a bounded domain for a fractional-diffusion equation with the Bessel operator and the...
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Existence of Weak Solutions to Nonlocal PDEs With a Generalized Definition of Caputo Derivative
Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial...
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New Results for Existence, Uniqueness, and Ulam Stable Theorem to Caputo–Fabrizio Fractional Differential Equations with Periodic Boundary Conditions
The research is focused on establishing the existence and uniqueness of solutions for a specific set of Caputo–Fabrizio fractional differential...
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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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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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Numerical solution of fractional differential equations with Caputo derivative by using numerical fractional predict–correct technique
Fractional differential equations have recently demonstrated their importance in a variety of fields, including medicine, applied sciences, and...
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Real-Time Calculation of a Caputo Fractional Derivative from Noisy Data. The Case of Continuous Measurements
We consider the problem of finding the derivative of a function, which is a classical problem of mathematical analysis. The values of the function...
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Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified...
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An Adaptive Memory method for Accurate and Efficient Computation of the Caputo Fractional Derivative
A fractional derivative is a temporally nonlocal operation which is computationally intensive due to inclusion of the accumulated contribution of...
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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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Identifying the source term and the initial value simultaneously for Caputo–Hadamard fractional diffusion equation on spherically symmetric domain
In this paper, we consider the inverse problem for identifying the source term and initial value for time-fractional diffusion equation on...
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Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment
Several epidemiological models use the Caputo fractional-order differential operator without establishing its significance. This study verifies a...
