Results 121 to 130 of about 20,315 (242)

Solution set for fractional differential equations with Riemann-Liouville derivative

Fractional Calculus and Applied Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalco-Cano, Yurilev, Nieto, Juan J., Ouahab, Abdelghani, Roman-Flores, Heriberto   +3 more
openaire   +6 more sources

Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan, Yu Wang, Tian-zeng Li, Qian-kun Wang, Sundarapandian Vaidyanathan   +4 more
wiley   +1 more source

Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations

Journal of Function Spaces, 2020
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
doaj   +1 more source

Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
core   +1 more source

Stability analysis of fractional differential system with Riemann–Liouville derivative

Mathematical and Computer Modelling, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian, Deliang, Li, Changpin, Agarwal, Ravi P., Wong, Patricia J. Y.   +3 more
openaire   +2 more sources

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Amar Nath Chatterjee   +5 more
wiley   +1 more source

A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors, products, and several complex intermediates using the homotopy perturbation method (HPM), homotopy ...
B. Radhakrishnan, P. Chandru, W. D. Mergia, Igor Freire   +3 more
wiley   +1 more source

Neuronal Dynamics of an Intrinsically Bursting Neuron Through the Caputo–Fabrizio Fractal–Fractional Hodgkin–Huxley Model

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam, M. J. Abedin, A. Hoque, M. G. Hafez, Jaume Giné   +4 more
wiley   +1 more source

On Cauchy-type problems with weighted R-L fractional derivatives of a function with respect to another function and comparison theorems

AIMS Mathematics
The main aim of this paper is to study the Cauchy problem for nonlinear differential equations of fractional order containing the weighted Riemann-Liouville fractional derivative of a function with respect to another function.
Iman Ben Othmane, Lamine Nisse, Thabet Abdeljawad   +2 more
doaj   +1 more source

A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source

, 2017
This paper aims to study the quenching problem in a fractional heat equation with the Riemann-Liouville fractional derivative. The existence and uniqueness of a solution for the problem are obtained by transforming the problem to an equivalent integral ...
Wannika Sawangtong, P. Sawangtong
semanticscholar   +1 more source