Results 81 to 90 of about 18,340 (169)

Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations

Boundary Value Problems
This paper presents an analytical solution framework for the coupled fractional Whitham–Broer–Kaup (FWBK) equations using the Sumudu transform (ST) and decomposition method (DM), where the fractional derivatives of Atangana–Baleanu in Caputo sense (ABC ...
Shams A. Ahmed, Mohammed G. S. Al-Safi, Rasool Shah, Anis Mohamed, Abdelgabar Adam Hassan, Adam Zakria, Ahmed Yahya   +6 more
doaj   +1 more source

General 2 × 2 system of nonlinear integral equations and its approximate solution

, 2019
In this note, we consider a general 2 × 2 system of nonlinear Volterra type integral equations. The modified Newton method (modified NM) is used to reduce the nonlinear problems into 2 × 2 linear system of algebraic integral equations of Volterra type ...
Nik Long, N. M. A., Eshkuvatov, Z. K., Taib, B. M., Hameed, Hameed Husam   +3 more
core   +1 more source

Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets

پژوهش‌های ریاضی, 2020
Introduction Optimal control problems (OCPs) appear in a wide class of applications. In the classical control problems, the state-space equations are expressed as differential equations.
Hamid Mesgarani, Hamid Safdari, Abolfazl Ghasemian   +2 more
doaj  

The Study of Fractional Quadratic Integral Equations Involves General Fractional Integrals

Fractal and Fractional
This paper investigates the well-posedness of analytical solutions to fractional quadratic differential equations, which involve generalized fractional integrals with respect to other functions.
Mi Zhou, Hengtai Wang, Zhenghua Xu, Lu Zhang   +3 more
doaj   +1 more source

Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators

Heliyon
In the context of complete strong b-metric-like spaces, we prove new multi-fixed point solutions for the pair of multivalued, dominated operators that fulfill the generalized nonlinear contractions on a closed ball. We employ a mix of two different types
Tahair Rasham, Sumati Kumari Panda, Ghada Ali Basendwah, Aftab Hussain   +3 more
doaj   +1 more source

A new numerical technique to seek properties of the nonlinear oscillators

Journal of Low Frequency Noise, Vibration and Active Control
Numerical methods are widely used in the area of nonlinear problems including differential equations. There are various integral transformations to study the frequency formulations and nonlinear solutions, but there are many types of transformations that
Jing-Yan Niu, Guang-Qing Feng
doaj   +1 more source

Existence of positive solutions to systems of nonlinear integral or differential equations

, 2009
In this paper, we are concerned with existence of positive solutions for systems of nonlinear Hammerstein integral equations, in which one nonlinear term is superlinear and the other is sublinear.
Zhang, Zhitao, Cheng, Xiyou
core  

Analysis of nonlinear graphene plasmonics using surface integral equations

, 2018
Graphene plasmonics have attracted significant attention in the past few years due to the remarkable optical and electrical properties of graphene. A highly effective method based on surface integral equations (SIE) in the frequency domain is proposed to
Ling Ling Meng, Xiong, Xiaoyan Y.Z., Jiang, Li (Lijun) Jun, Weng Cho Chew, Tian Xia, Chew, Weng Cho, Xia, Tian, Li Jun Jiang, Meng, Ling Ling, Xiaoyan Y. Z. Xiong   +9 more
core   +1 more source

ROOT FINDING FOR NONLINEAR EQUATIONS

, 2018
Nonlinear equations /systems appear in most science and engineering models. For example, when solving eigen value problems, optimization problems, differential equations, in circuit analysis, analysis of state equations for a real gas, in mechanical ...
Gemechu, Tekle
core  

An existence results of a product type fractional functional integral equations using Petryshyn's fixed point theorem

Journal of Taibah University for Science
In this paper, we investigate the existence of solutions for a new class of nonlinear product-type fractional functional integral equations (FFIEs) involving the Riemann–Liouville fractional integral operator.
Sukanta Halder, Deepmala, Cemil Tunç
doaj   +1 more source