Even Higher Order Fractional Initial Boundary Value Problem with Nonlocal Constraints of Purely Integral Type
Keyword(s):
A Priori
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In this paper, the a priori estimate method, the so-called energy inequalities method based on some functional analysis tools is developed for a Caputo time fractional 2 m th order diffusion wave equation with purely nonlocal conditions of integral type. Existence and uniqueness of the solution are proved. The proofs of the results are based on some a priori estimates and on some density arguments.
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