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28 papers · 1 filter
Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches
Noureddine Mhadhbi, Sameh Gana, Mazen Fawaz Alsaeedi
This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to deri…
On the fourth-order Leray-Lions problem with indefinite weight and nonstandard growth conditions
K. Kefi, N. Irzi, M. M. Al-Shomrani +1
We prove the existence of at least three weak solutions for the fourth-order problem with indefinite weight involving the Leray-Lions operator with nonstandard growth conditions. T…
Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
A. Bashir, A. Alsaedi, M. Berbiche +1
We study the Cauchy problem for a system of semi-linear coupled fractional-diffusion equations with polynomial nonlinearities posed in . Unde…
Maximum principle for space and time-space fractional partial differential equations
Mokhtar Kirane, Berikbol T. Torebek
In this paper we obtain new estimates of the sequential Caputo fractional derivatives of a function at its extremum points. We derive comparison principles for the linear fractiona…
Blowing-up solutions of the time-fractional dispersive equations
Bashir Ahmad, Ahmed Alsaedi, Mokhtar Kirane +1
This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Dega…
Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient. The conve…