Existence of solution for 2-D time-fractional differential equations with a boundary integral condition

被引：0
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作者：
Lotfi Kasmi
Amara Guerfi
Said Mesloub
机构：
[1] University of Kasdi Merbah,Mathematics Department, Faculty of Mathematics and Matter Sciences, Applied Mathematics Laboratory
[2] King Saud University,Mathematics Department, College of Science
来源：
Advances in Difference Equations | / 2019卷
关键词：
Fractional differential equations; A priori estimate method; Boundary integral condition; Existence and uniqueness; 35R11; 35B45; 35D35; 35L20;
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摘要：
In this article, we prove the existence and uniqueness of a solution for 2-dimensional time-fractional differential equations with classical and integral boundary conditions. We start by writing this problem in the operator form and we choose suitable spaces and norms. Then we establish prior estimates from which we deduce the uniqueness of the strong solution. For the existence of solution for the fractional problem, we prove that the range of the operator generated by the considered problem is dense.
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