Results 61 to 70 of about 11,164,966 (156)

Optimizing pantograph fractional differential equations: A Haar wavelet operational matrix method

Partial Differential Equations in Applied Mathematics
In this study, we developed an operational matrix method of integration using Haar wavelets to solve both linear and nonlinear pantograph fractional differential equations by taking Atangana's beta derivative.
Najeeb Alam Khan, Mumtaz Ali, Asmat Ara, M. Ijaz Khan, Sayfutdinovna Abdullaeva, M. Waqas   +5 more
doaj   +1 more source

A New Algorithm for Fractional Riccati Type Differential Equations by Using Haar Wavelet

Mathematics, 2019
In this paper, a new collocation method based on Haar wavelet is developed for numerical solution of Riccati type differential equations with non-integer order. The fractional derivatives are considered in the Caputo sense.
M. Motawi Khashan, Rohul Amin, Muhammed I. Syam   +2 more
doaj   +1 more source

Exact Solutions and Convergence Analysis of Linear Fractional Integro‐Differential Equations With Caputo Derivatives

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Modeling systems with memory and nonlocal effects is significantly influenced by fractional integro‐differential equations; however, precise analytical solutions are still hard to find. This article establishes a consistent deductive mathematical framework for the emergence of closed‐form solutions to linear fractional Fredholm and Volterra integro ...
Khadija Tul Kubra, Muhammad Aqib, Samra Gulshan, Rooh Ali, Hami Gündoğdu, Smritijit Sen   +5 more
wiley   +1 more source

Trends of Hybrid Nanofluids (Zn‐Au/EG) Flow in Electrical Conducting Rotating and Stretched System: Haar Wavelets With Dilation 3

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article provides a deep insight to analyze the magnetohydrodynamic rotating flow of hybrid nanofluid between two parallel permeable surfaces with the help of truncated wavelet series. Ethylene glycol is considered as base fluid, while zinc (Zn) and gold (Au) are taken as suspending nanoparticles.
Sapna Pandit, Mehmet Emir Koksal, Smritijit Sen   +2 more
wiley   +1 more source

Dynamics and Linear Feedback Control of a Novel Discrete Fractional‐Order Zika Virus Model With Multiroute Transmission

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study addresses the critical public health challenge posed by the Zika virus (ZIKV), a pathogen with complex multiroute transmission dynamics. We develop a novel discrete fractional‐order mathematical model to accurately capture the intrapopulation spread of ZIKV, enhancing traditional models by incorporating memory effects and long‐range ...
A. El-Mesady, Alaa M. Abd El-Latif, Yehya I. Mesalam, Shewafera Wondimagegnhu Teklu, Shaaban M. Shaaban, Smritijit Sen   +5 more
wiley   +1 more source

Haar wavelet collocation method for solving boundary layer flow and heat transfer over a moving plate in a carbon nanotubes with MHD effect

This study aims to explore the consideration of boundary layer flow and heat transfer over a moving plate with the presence of the magneto-hydrodynamics at the surface in carbon nanotubes.
N.S., Haswaniza, A.F.N., Rasedee, N., Bachok, T.J., Wong, M., Hasan   +4 more
core   +1 more source

Numerical assessment of hyperbolic type double interface problems via Haar wavelets

Partial Differential Equations in Applied Mathematics
In this manuscript, we have addressed wave propagation challenges within heterogeneous media and hyperbolic interface model. A hybrid numerical approach is introduced for solving these problems, combining the finite difference method and Haar wavelet ...
Muhammad Asif, Muhammad Umar Farooq, Muhammad Bilal Riaz, Faisal Bilal, Nadeem Haider   +4 more
doaj   +1 more source

An Effective Numerical Approach for Fractional Integro‐Differential Systems Using Shifted Airfoil Polynomials

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a projection method that utilizes shifted airfoil polynomials to solve systems of weakly singular fractional integro‐differential equations (FIDEs). The proposed approach converts the original system into two linear algebraic systems, facilitating efficient numerical solutions.
Saeed Althubiti, Chang Phang
wiley   +1 more source

Efficient High‐Accuracy Numerical Scheme for the Solution of Time Fractional Parabolic Partial Differential Equations With Application in Financial Modeling

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Parabolic partial equations, particularly the Black–Scholes equation, are fundamental in mathematical finance for option pricing and risk management. Despite their widespread use, efficiently solving these equations remains a challenge, especially in complex financial scenarios.
Hadis Azin, Ali Iloon Kashkooly, Pramita Mishra   +2 more
wiley   +1 more source

A semi-analytic and numerical approach to the fractional differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
A class of linear and nonlinear fractional differential equations (FDEs) in the Caputo sense is considered and studied through two novel techniques called the Homotopy analysis method (HAM).
K.N. Sachin, K. Suguntha, S. Kumbinarasaiah   +2 more
doaj   +1 more source