A boundary value problem with an integral condition for a certain fractional differential equation
The aim of this work is to prove the existence and the uniqueness of the solution of one dimensional initial boundary value problem for a parabolic equation with a Caputo time fractional differential operator supplemented by periodic nonlocal boundary condition and integral condition. First, an a p...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2025-07-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vilniustech.lt/index.php/MMA/article/view/21481 |
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| Summary: | The aim of this work is to prove the existence and the uniqueness of the solution of one dimensional initial boundary value problem for a parabolic equation with a Caputo time fractional differential operator supplemented by periodic nonlocal boundary condition and integral condition. First, an a priori estimate is established for the associated problem. Secondly, the density of the operator range generated by the considered problem is proved by using the functional analysis method.
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| ISSN: | 1392-6292 1648-3510 |