Results 91 to 100 of about 397,746 (163)

Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations

Fractal and Fractional
This work explores the existence and uniqueness criteria for the solution of hybrid Caputo–Hadamard fractional sequential differential equations (HCHFSDEs) by employing Darbo’s fixed-point theorem. Fractional differential equations play a pivotal role in
Muhammad Yaseen, Sadia Mumtaz, Reny George, Azhar Hussain, Hossam A. Nabwey   +4 more
doaj   +1 more source

A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations

This paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
core   +1 more source

Studies on a new K-symbol analytic functions generated by a modified K-symbol Riemann-Liouville fractional calculus. [PDF]

MethodsX, 2023
Aldawish I, Ibrahim RW.
europepmc   +1 more source

Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy. [PDF]

Entropy (Basel), 2022
Tarasov VE.
europepmc   +1 more source

A Discretization of the Hadamard fractional derivative [PDF]

, 2016
We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a fractional variational problem with dependence on the Hadamard ...
Bastos, Nuno, Almeida, Ricardo
core   +1 more source

Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation. [PDF]

Bound Value Probl, 2023
Kebede SG, Lakoud AG.
europepmc   +1 more source

Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]

Comput Intell Neurosci, 2021
Barakat MA, Soliman AH, Hyder AA, Hyder AA.   +3 more
europepmc   +1 more source

High Order Approximation to Caputo Derivative On Graded Mesh and Time-Fractional Diffusion Equation for Non-smooth Solutions

In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations involving an initial-time singularity of the solution is proposed.
Kumari, Shweta, Singh, Abhishek Kumar, Mehandiratta, Vaibhav, Mehra, Mani   +3 more
core   +1 more source

A non-singular fractional-order logistic growth model with multi-scaling effects to analyze and forecast population growth in Bangladesh. [PDF]

Sci Rep, 2023
Ullah MS, Kabir KMA, Khan MAH.
europepmc   +1 more source

Artificial neural network analysis of a fractional cyber-epidemic model in wireless sensors under the proportional Hadamard-Caputo operator. [PDF]

Sci Rep
Barakat MA, Hyder AA, Aboelenen T, Iqbal N, Shafee A, Noori N.   +5 more
europepmc   +1 more source