NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR

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NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR

datacite.subject.fos	oecd::Engineering and technology
dc.contributor.author	NGUYEN ANH TUAN
dc.contributor.author	NGUYEN HOANG LUC
dc.contributor.author	NGUYEN PHAM QUYNH TRANG
dc.contributor.author	HO THI KIM VAN
dc.date.accessioned	2022-10-25T04:11:06Z
dc.date.available	2022-10-25T04:11:06Z
dc.date.issued	2022
dc.description.abstract	In this paper, we are interested in studying the initial value problem for parabolic problem associated with the Caputo–Fabrizio derivative. We deal the problem in two cases: linear inhomogeneous case and nonlinearity source term. For the linear case, we derive the convergence result of the mild solution when the fractional order [Formula: see text] under some various assumptions on the initial datum. For the nonlinear problem, we show the existence and uniqueness of the mild solution using Banach fixed point theory. We also prove the convergence result of the mild solution when the fractional order [Formula: see text].
dc.identifier.doi	10.1142/S0218348X22401582
dc.identifier.uri	http://repository.vlu.edu.vn:443/handle/123456789/301
dc.language.iso	en_US
dc.relation.ispartof	Fractals
dc.relation.issn	0218-348X
dc.relation.issn	1793-6543
dc.subject	Nonlocal Parabolic Equation
dc.subject	Banach Fixed Point Theory
dc.subject	SphereRegularity
dc.subject	Caputo–Fabrizio Operator
dc.subject	Convergence
dc.title	NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR
dc.type	journal-article
dspace.entity.type	Publication
oaire.citation.issue	05
oaire.citation.volume	30

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