On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator

• Datum: 2017
• Hauptverfasser: Karimov, Sh. T., Каримов, Ш. Т.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1788
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study an analog of the Cauchy problem for an inhomogeneous singular polycaloric (polyparabolic) equation with Bessel operator. By using the Erd´elyi–Kober operator of the fractional order, we deduce an explicit formula for the solution of the formulated problem.