Monotone Iterative Technique for Nonlinear Periodic Time Fractional Parabolic Problems

Autor: Elhoussine Azroul, Abdelouahed Alla Hamou, Abdelilah Lamrani Alaoui

Publikováno v: Advances in the Theory of Nonlinear Analysis and its Applications, Vol 4, Iss 3, Pp 194-213 (2020)
Volume: 4, Issue: 3 194-213
Advances in the Theory of Nonlinear Analysis and its Application

In this paper, the existence and uniqueness of the weak solution for a linear parabolic equation with conformable derivative are proved, the existence of weak periodic solutions for conformable fractional parabolic nonlinear differential equation is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c00aeb9b9dc8074012bae248de87800e
https://dergipark.org.tr/tr/download/article-file/1205882

An equivalence lemma for a class of fuzzy implicit integro-differential equations

Autor: Masoumeh Zeinali, Sedaghat Shahmorad

Publikováno v: Journal of Computational and Applied Mathematics. 327:388-399

In the current paper, an equivalence lemma is proposed which converts a second order implicit form of nonlinear fuzzy Volterra integro-differential equation to four different kinds of nonlinear integral equations based on kind of GH-differentiability

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ea6bc4741f7f59dc77258b79bfea7cae
https://doi.org/10.1016/j.cam.2017.06.001

Ground solutions for critical quasilinear elliptic equations via Pohožaev manifold method

Autor: Haibo Chen, Liping Xu

Publikováno v: Applicable Analysis. 97:1651-1666

The paper deals with the following problem:where is a parameter, and , . Under some certain assumptions on V(x), we establish the existence of ground-state solutions for quasi-linear elliptic equations with Sobolev exponent via the method of Pohožae

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6415084123f7b80ec7782b045a5cf76
https://doi.org/10.1080/00036811.2017.1325474

Probabilistic representation and local existence for the quasi-linear partial integro-differential equations with Sobolev initial value

Autor: Jinxia Wang

Publikováno v: Statistics & Probability Letters. 120:69-80

In this paper, we establish the stochastic representation for quasi-linear partial integro-differential equations. Further, by using it, we prove the existence of local smooth solutions in Sobolev spaces for a class of quasi-linear partial integro-di

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::435488f3defe0fb8835363d8d85ee57e
https://doi.org/10.1016/j.spl.2016.09.009

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