Results 21 to 30 of about 418,531 (262)

Some new nonlinear second-order boundary value problems on an arbitrary domain

Advances in Difference Equations, 2018
In this paper, we develop the existence theory for nonlinear second-order ordinary differential equations equipped with new kinds of nonlocal non-separated type integral multi-point boundary conditions on an arbitrary domain. Existence results are proved
Ahmed Alsaedi, Mona Alsulami, Ravi P. Agarwal, Bashir Ahmad   +3 more
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Generalized Thermo-Diffusion Interaction in an Elastic Medium under Temperature Dependent Diffusivity and Thermal Conductivity

Mathematics, 2022
The purpose of this work is to investigate, within the context of extended thermo-diffusion theory, the transient thermo-diffusion responses for a half-space with variable thermal conductivity and diffusivity.
Aatef Hobiny, Ibrahim Abbas
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Nonexistence of global solutions of fractional diffusion equation with time-space nonlocal source

Advances in Difference Equations, 2020
We prove the nonexistence of solutions of the fractional diffusion equation with time-space nonlocal source u t + ( − Δ ) β 2 u = ( 1 + | x | ) γ ∫ 0 t ( t − s ) α − 1 | u | p ∥ ν 1 q ( x ) u ∥ q r d s $$\begin{aligned} u_{t} + (-\Delta )^{\frac{\beta ...
Abderrazak Nabti, Ahmed Alsaedi, Mokhtar Kirane, Bashir Ahmad   +3 more
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Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

Mathematics, 2022
In this work, a novel nonlocal model without energy dissipations is presented to investigate the impacts of the nonlocal thermoelastic parameters in a nanoscale material by the eigenvalue approach.
Tareq Saeed, Ibrahim Abbas
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Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions

Advances in Difference Equations, 2018
In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and multi-strip boundary value problems of multi-term fractional differential equations by using standard fixed point theorems.
Ravi P. Agarwal, Ahmed Alsaedi, Najla Alghamdi, Sotiris K. Ntouyas, Bashir Ahmad   +4 more
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A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions

Boundary Value Problems, 2017
In this paper, we introduce a new concept of coupled non-separated boundary conditions and solve a coupled system of fractional differential equations supplemented with these conditions.
Hamed H Alsulami, Sotiris K Ntouyas, Ravi P Agarwal, Bashir Ahmad, Ahmed Alsaedi   +4 more
doaj   +1 more source

Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification

Mathematics, 2020
The aim of this study is to propose the analytical method associated with Laplace transforms and experimental verification to estimate thermal damages and temperature due to laser irradiation by utilizing measurement information of skin surface.
Aatef Hobiny, Faris Alzahrani, Ibrahim Abbas   +2 more
doaj   +1 more source

Tenth order boundary value problem solution existence by fixed point theorem

Journal of Inequalities and Applications, 2020
In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation.
Nicola Fabiano, Nebojša Nikolić, Thenmozhi Shanmugam, Stojan Radenović, Nada Čitaković   +4 more
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Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions

Boundary Value Problems, 2019
In this paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupled boundary conditions.
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi   +2 more
doaj   +1 more source

Resonant Soliton and Soliton-Cnoidal Wave Solutions for a (3+1)-Dimensional Korteweg-de Vries-Like Equation

Complexity, 2019
The residual symmetry of a (3+1)-dimensional Korteweg-de Vries (KdV)-like equation is constructed using the truncated Painlevé expansion. Such residual symmetry can be localized and the (3+1)-dimensional KdV-like equation is extended into an enlarged ...
Zheng-Yi Ma, Jin-Xi Fei, Jun-Chao Chen, Quan-Yong Zhu   +3 more
doaj   +1 more source