On Cauchy problems with Caputo Hadamard fractional derivatives
Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y. +3 more
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Existence results of fractional differential equations with Riesz–Caputo derivative
This paper is concerned with a class of boundary value problems for fractional differential equations with the Riesz–Caputo derivative, which holds two-sided nonlocal effects.
Guo-Cheng Wu +2 more
core +1 more source
This article aims to explore the existence and stability of solutions to differential equations involving a ψ-Hilfer fractional derivative in the Caputo sense, which, compared to classical ψ-Hilfer fractional derivatives (in the Riemann–Liouville sense),
Luyao Wang +4 more
core +1 more source
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative. [PDF]
Tuan NH, Mohammadi H, Rezapour S.
europepmc +1 more source
Impulsive Control of Variable Fractional-Order Multi-Agent Systems
The main goal of the paper is to present and study models of multi-agent systems for which the dynamics of the agents are described by a Caputo fractional derivative of variable order and a kernel that depends on an increasing function.
Ravi P. Agarwal +2 more
doaj +1 more source
Analysis of COVID-19 model under Caputo fractional derivative with case study of Algeria
Benterki A, Benbachir M.
europepmc +1 more source
Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative. [PDF]
Samet B, Aydi H.
europepmc +1 more source
Some new results on interval-valued volterra integro-differential equations for caputo fractional derivative. [PDF]
Noureen S, Zehra A, Tolasa FT.
europepmc +1 more source
Numerical solutions of a fractional order SEIR epidemic model of measles under Caputo fractional derivative. [PDF]
Alshammari NA +4 more
europepmc +1 more source

