Results 1 to 10 of about 3,705,692 (145)

Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G

open access: yesAdvances in Mathematical Physics, 2022
In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
doaj   +3 more sources

A “Maximum Principle for Semicontinuous Functions” Applicable to Integro-Partial Differential Equations [PDF]

open access: yesNonlinear Differential Equations and Applications, 2006
We formulate and prove a non-local "maximum principle for semi- continuous functions" in the setting of fully nonlinear and degenerate elliptic integro-partial dierential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain com- parison/uniqueness results for integro-partial ...
Kenneth Hvistendahl Karlsen   +1 more
exaly   +2 more sources

Non-Linear Degenerate Integro-Partial Differential Evolution Equations Related to Geometric Lévy Processes and Applications to Backward Stochastic Differential Equations [PDF]

open access: yesStochastic and Stochastics Reports, 2004
We prove a comparison principle for unbounded semicontinuous viscosity sub- and supersolutions of non-linear degenerate parabolic integro-partial differential equations coming from applications in mathematical finance in which geometric Levy processes act as the underlying stochastic processes for the assets dynamics. As a consequence of the “geometric
Anna Lisa Amadori   +1 more
exaly   +4 more sources

Solitary Wave Solutions of Nonlinear Integro-Partial Differential Equations of 2+1-Dimensional and Its Models

open access: yesInternational Journal of Differential Equations, 2022
The findings indicate an application of a new method of expansion of the forms Z′/Z and 1/Z to determine the solutions for wave of the solitary nature in the 2+1-dimensional modified form for nonlinear integro-partial differential equations.
Daba Meshesha Gusu, Shelama Diro
doaj   +2 more sources

Integro-differential equations with bounded operators in Banach spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
doaj   +3 more sources

Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]

open access: yesE3S Web of Conferences, 2023
The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper. A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure ...
Verlan A.A.   +4 more
doaj   +1 more source

Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations

open access: yesComputation, 2021
The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta   +2 more
doaj   +1 more source

Parameter Estimation for Several Types of Linear Partial Differential Equations Based on Gaussian Processes

open access: yesFractal and Fractional, 2022
This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
doaj   +1 more source

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

Exact solutions of (1 + 1)-dimensional integro-differential Ito, KP hierarchy, CBS, MCBS and modified KdV-CBS equations

open access: yesPLoS ONE, 2023
The present study computes the Lie symmetries and exact solutions of some problems modeled by nonlinear partial differential equations. The (1 + 1)-dimensional integro-differential Ito, the first integro-differential KP hierarchy, the Calogero ...
Amina Amin, Imran Naeem, Adnan Khan
doaj   +2 more sources

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