A boundary value problem with an integral condition for a certain fractional differential equation
DOI: https://doi.org/10.3846/mma.2025.21481Abstract
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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energy inequality, fractional differential equation, Caputo derivatives, integral boundary conditions, strong solutionHow to Cite
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Copyright (c) 2025 The Author(s). Published by Vilnius Gediminas Technical University.
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