Results 91 to 100 of about 383,064 (247)

Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Demonstratio Mathematica
Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj   +1 more source

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Advances in Difference Equations, 2018
The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo, R. Ameen, F. Jarad, T. Abdeljawad   +3 more
doaj   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Ostrowski type inequalities involving the right Caputo fractional derivatives belong to L_{p} [PDF]

Facta Universitatis, Series Mathematics and Informatics, 27(2), 2012, 2012
In this paper, we have established Ostrowski type inequalities involving the right Caputo fractional derivatives belong to L_{p} spaces (1\leq p \leq \infty) via the right Caputo fractional Taylor formula with integral remainder.
arxiv  

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

FRACTIONAL CAPUTO-FABRIZIO DERIVATIVE WITH APPLICATIONS

, 2015
80
openaire   +2 more sources

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions [PDF]

arXiv, 2018
In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem supplemented with nonlocal Riemann-Liouville fractional integral and Caputo fractional derivative boundary conditions. Our results are based on some known tools of fixed point theory. Finally, some illustrative examples are included to verify
arxiv  

Stability and Hopf Bifurcations Analysis in a Three‐Phase Dengue Diffusion Model With Time Delay in Fractional Derivative and Laplace–Adomian Decomposition Numerical Approach

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi, M. Ariyanatchi, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat   +4 more
wiley   +1 more source

Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay

Discrete Dynamics in Nature and Society, 2014
This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously.
Abdulaziz Alofi, Jinde Cao, Ahmed Elaiw, Abdullah Al-Mazrooei   +3 more
doaj   +1 more source