Results 31 to 40 of about 3,735 (290)
Nonlocal problems for controllability of functional differential equation
Journal of Physics: Conference Series, 2021 Abstract The present work addresses the nonlocal problems for a controllability of functional differential equation in Banach spaces. Sufficient conditions are derived by using Schaefer’s fixed point and semigroup theory.
C Selvamani, C Loganathan
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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
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On Bending of Bernoulli-Euler Nanobeams for Nonlocal Composite Materials
Modelling and Simulation in Engineering, 2016 Evaluation of size effects in functionally graded elastic nanobeams is carried out by making recourse to the nonlocal continuum mechanics. The Bernoulli-Euler kinematic assumption and the Eringen nonlocal constitutive law are assumed in the formulation ...
Luciano Feo, Rosa Penna
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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
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On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem [PDF]
International Journal of Stochastic Analysis, 1998 In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
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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
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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
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Advanced Engineering Materials, EarlyView.This work reveals the phase composition and quantitative morphology analysis of precipitation‐hardened Fe32Cu12Ni11Ti16Al29 complex‐concentrated alloy. The precipitates are shown to have a high coherency. Morphology transition between sphere, cuboidal, and elongated morphology is observed. Finally, the overaging behavior is captured using microhardness.
Rostyslav Nizinkovskyi +4 more
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Symmetries and Reductions of Integrable Nonlocal Partial Differential Equations [PDF]
Symmetry, 2019 In this paper, symmetry analysis is extended to study nonlocal differential equations. In particular, two integrable nonlocal equations are investigated, the nonlocal nonlinear Schrödinger equation and the nonlocal modified Korteweg–de Vries equation.
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A nonlocal operator method for solving partial differential equations [PDF]
Computer Methods in Applied Mechanics and Engineering, 2020 We propose a nonlocal operator method for solving partial differential equations (PDEs). The nonlocal operator is derived from the Taylor series expansion of the unknown field, and can be regarded as the integral form "equivalent" to the differential form in the sense of nonlocal interaction.
Huilong Ren +3 more
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