Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load

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Main Authors: Ravi P. Agarwal, Umida Baltaeva, Florence Hubert, Boburjon Khasanov
Format: Article
Language:English
Published: Texas State University 2024-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2024/64/abstr.html
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author Ravi P. Agarwal
Umida Baltaeva
Florence Hubert
Boburjon Khasanov
author_facet Ravi P. Agarwal
Umida Baltaeva
Florence Hubert
Boburjon Khasanov
author_sort Ravi P. Agarwal
collection DOAJ
format Article
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institution Kabale University
issn 1072-6691
language English
publishDate 2024-10-01
publisher Texas State University
record_format Article
series Electronic Journal of Differential Equations
spelling doaj-art-dafa11255f9f443a9cd7f07b513d89d72025-01-14T19:49:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912024-10-01202464,119Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional loadRavi P. Agarwal0Umida Baltaeva1Florence Hubert2Boburjon Khasanov3 Florida Institute of Tech., Melbourne, FL, USA Urgench State Univ., Uzbekistan Aix-Marseille Univ., Marseille, France Khorezm Mamun Academy, Khorezm, Uzbekistan http://ejde.math.txstate.edu/Volumes/2024/64/abstr.htmlheat equationcauchy probleminverse problemloaded equationfractional operator
spellingShingle Ravi P. Agarwal
Umida Baltaeva
Florence Hubert
Boburjon Khasanov
Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load
Electronic Journal of Differential Equations
heat equation
cauchy problem
inverse problem
loaded equation
fractional operator
title Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load
title_full Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load
title_fullStr Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load
title_full_unstemmed Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load
title_short Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load
title_sort existence and uniqueness of the solution to initial and inverse problems for integro differential heat equations with fractional load
topic heat equation
cauchy problem
inverse problem
loaded equation
fractional operator
url http://ejde.math.txstate.edu/Volumes/2024/64/abstr.html
work_keys_str_mv AT ravipagarwal existenceanduniquenessofthesolutiontoinitialandinverseproblemsforintegrodifferentialheatequationswithfractionalload
AT umidabaltaeva existenceanduniquenessofthesolutiontoinitialandinverseproblemsforintegrodifferentialheatequationswithfractionalload
AT florencehubert existenceanduniquenessofthesolutiontoinitialandinverseproblemsforintegrodifferentialheatequationswithfractionalload
AT boburjonkhasanov existenceanduniquenessofthesolutiontoinitialandinverseproblemsforintegrodifferentialheatequationswithfractionalload