Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions

被引：1

作者：

Chergui, Djamila ^{[2
]}

Merad, Ahcene ^{[2
]}

Pinelas, Sandra ^{[1
]}

机构：

[1] Acad Mil, CINAMIL Ctr Invest Acad Mil, Lisbo, Portugal

[2] Univ Oum El Bouaghi, Dept Math, Lab Dynam Syst & Control, Oum El Bouaghi, Algeria

来源：

ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2023年 / 43卷 / 01期

关键词：

Energy inequality; integral condition; a priori estimate; existence and uniqueness of solution; fractional problem; homotopy perturbation method; Laplace transform;

D O I：

10.1515/anly-2021-0016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and uniqueness of Caputo time fractional pseudo-hyperbolic equations of higher order with purely nonlocal conditions of integral type. We use an a priori estimate method; the so-called energy inequalities method, based on some functional analysis tools, is developed for a Caputo time fractional of 2m-th and (2m + 1)-th order and the density of the range of the operator generated by the considered problem. Using the Laplace transform and homotopy perturbation, we find a semi-analytical solution. Finally, we give some examples for illustration.

引用

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页码：1 / 13

页数：13

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