Geodesic
On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative
Matematičeskie zametki, Tome 112 (2022) no. 2, pp. 218-226

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A problem for an equation of high even order involving a Caputo fractional derivative in a rectangular domain with conjugation conditions is studied. A criterion for the uniqueness of the solution is given. The solution is constructed in the form of a Fourier series in eigenfunctions of a one-dimensional problem.
Keywords: even-order equation, Caputo fractional derivative, discontinuous coefficient, eigenvalue, eigenfunction, Fourier series.
Mots-clés : conjugation conditions 
@article{MZM_2022_112_2_a5,
     author = {B. Yu. Irgashev},
     title = {On a {Problem} with {Conjugation} {Conditions} for an {Equation} of {Even} {Order} {Involving} a {Caputo} {Fractional} {Derivative}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {218--226},
     publisher = {mathdoc},
     volume = {112},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_2_a5/}
}
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B. Yu. Irgashev. On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative. Matematičeskie zametki, Tome 112 (2022) no. 2, pp. 218-226. http://geodesic.mathdoc.fr/item/MZM_2022_112_2_a5/