Exact solutions of (1 + 1)-dimensional integro-differential Ito, KP hierarchy, CBS, MCBS and modified KdV-CBS equations [PDF]
PLoS 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
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A new perturbative technique for solving integro-partial differential equations [PDF]
Journal of Mathematical Physics, 1999 Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown distribution function.
Peter A Becker, Becker Peter A
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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Advances 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
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A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations [PDF]
Nonlinear 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 ...
Espen R Jakobsen +2 more
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Non-linear degenerate integro-partial differential evolution equations related to geometric Lévy processes and applications to backward stochastic differential equations [PDF]
Stochastic 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
AMADORI, Anna Lisa +2 more
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels. [PDF]
HeliyonVolterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category.
Sadri K +4 more
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International 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
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды 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
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Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled A Gepreel, Taher A Nofal
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Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]
E3S 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
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