Results 51 to 60 of about 542,997 (336)
Second order systems with nonlinear nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
doaj +1 more source
Numerical analysis of some partial differential equations with fractal-fractional derivative
AIMS Mathematics, 2023 In this study, we expanded the partial differential equation framework to which fractal-fractional differentiation can be applied. For this, we employed the generalized Mittag-Leffler function, and the fractal-fractional derivatives based on the power ...
Nadiyah Hussain Alharthi +2 more
doaj +1 more source
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities [PDF]
, 2017 A nonlinear Schr\"odinger equation (NLS) with dispersion averaged nonlinearity of saturated type is considered. Such a nonlocal NLS is of integro-differential type and it arises naturally in modeling fiber-optics communication systems with periodically ...
Hundertmark, Dirk +3 more
core +3 more sources
Journal of Function Spaces, 2018 We deal with a singular nonlocal fractional differential equation with Riemann-Stieltjes integral conditions. The exact iterative solution is established under the iterative technique. The iterative sequences have been proved to converge uniformly to the
J. Mao, Zengqin Zhao, Chenguang Wang
semanticscholar +1 more source
Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations [PDF]
Mathematical methods in the applied sciences, 2020 In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal fractional integral boundary conditions.
Ashwini D. Mali, Kishor D. Kucche
semanticscholar +1 more source
Porous Three-Dimensional Scaffold Generation for 3D Printing
Mathematics, 2020 In this paper, we present an efficient numerical method for arbitrary shaped porous structure generation for 3D printing. A phase-field model is employed for modeling phase separation phenomena of diblock copolymers based on the three-dimensional ...
Chaeyoung Lee +3 more
doaj +1 more source
On a Multivalued Differential Equation with Nonlocality in Time [PDF]
Vietnam Journal of Mathematics, 2020 AbstractThe initial value problem for a multivalued differential equation is studied, which is governed by the sum of a monotone, hemicontinuous, coercive operator fulfilling a certain growth condition and a Volterra integral operator in time of convolution type with exponential decay.
Eikmeier, André, Emmrich, Etienne
openaire +4 more sources
On stochastic solutions of nonlocal random functional integral equations
Arab Journal of Mathematical Sciences, 2019 In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
doaj +1 more source
On the complete integrability and linearization of nonlinear ordinary differential equations - Part II: Third order equations [PDF]
, 2005 We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals of motion associated with the given equation so that ...
Chandrasekar, V. K. +2 more
core +2 more sources
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source