Direct and inverse problems for a parabolic-hyperbolic equationinvolving Riemann–Liouville derivatives
Obidjon KhAzerbaijan University of Architecture and Construction, Ayna Sultanova street 5, Baku, AzerbaijanOktay AbdullaevTashkent State University of Economics, Karimov str. 49, Tashkent, 100066 UzbekistanTursun SalmanovTashkent State University of Economics, Karimov str. 49, Tashkent, 100066 UzbekistanO ShKimyo international university in Tashkent, Usmon Nasyr Street 156, Tashkent, 100124 UzbekistanT. K. YuldashevAzerbaijan University of Architecture and Construction, Ayna Sultanova street 5, Baku, AzerbaijanAbdullaevSalmanovT YuldashevO AbdullaevKhB AlievV KerimovY YakubovR AshurovYu FayzievN AslD RostamyA BoltaevD DurdievK DiethelmA FreedN FordG WalzD DelboscoL RodinoS DzhamalovM AliyevKh TurakulovShS DjamalovS MerajovaA RakhmonovA El-SayedL GaulP KleinS KempfleW GlockleT NonnenmacherN HeydarzadeE KaufmannE MboumiA KilbasS MarzanH SrivastavaJ TrujilloV LakshmikanthamA VatsalaY LiuZ LiM YamamotoS MomaniS HadidZ AlawenhI PodlubnyI PetrasB VinagreP O'learyL DorcakM RuzhanskyN TokmagambetovB TorebekL SunY ZhangT WeiB TurmetovB KadirkulovC YuG GaoR BandaliyevKh MamedovE Karimov
ABI
Аннотация
This work is devoted to the investigation of direct and inverse problems with nonlinear gluing condition for a mixed parabolic-hyperbolic equation involves Riemann-Liouville time fractional derivatives.The problem is reduced to study nonlinear Volterra integral equations.The methods of integral equations and successive approximations are used in proving theorems on existence and uniqueness.
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