Results 61 to 70 of about 582,712 (204)
Dynamics of the Caputo fractional derivative [PDF]
In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space.
Murillo-Arcila, Marina +5 more
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Numerical methods for fractional differential equations by new caputo and hadamard types operators [PDF]
, 2020 Fractional ordinary differential equation (FODE) and fractional partial differential equation (FPDE) emerges in various modelling of physics phenomena. Over past decades, several fractional derivative and operator has been introduced such as Caputo-
Toh, Yoke Teng
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Electronic Journal of Differential Equations, 2016 Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid +6 more
wiley +1 more source
Fractal and Fractional, 2021 In this work, we explore the existence results for the hybrid Caputo–Hadamard fractional boundary value problem (CH-FBVP). The inclusion version of the proposed BVP with a three-point hybrid Caputo–Hadamard terminal conditions is also considered and the ...
Muhammad Yaseen +3 more
doaj +1 more source
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman +4 more
wiley +1 more source
The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This work investigates the existence of infinitely many nontrivial weak solutions to a boundary value problem involving the right‐sided and left‐sided ψ‐Hilfer fractional derivative and ψ‐Riemann–Liouville fractional integral operators. Using variational methods and critical point theory, we obtain new existence criteria for solutions of the given ...
Amjad Salari +2 more
wiley +1 more source
An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif +3 more
wiley +1 more source
Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag +5 more
wiley +1 more source