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Advanced Analysis of Local Fractional Calculus Applied to the Rice Theory in Fractal Fracture Mechanics

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dc.contributor.author Yang, Xiao-Jun
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Srivastava, H. M.
dc.date.accessioned 2024-02-15T13:28:25Z
dc.date.available 2024-02-15T13:28:25Z
dc.date.issued 2021
dc.identifier.citation Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. (2021). "Advanced Analysis of Local Fractional Calculus Applied to the Rice Theory in Fractal Fracture Mechanics", in Methods of Mathematical Modelling and Computation for Complex Systems, Vol. 373, pp. 105-133. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/7244
dc.description.abstract In this chapter, the recent results for the analysis of local fractional calculus are considered for the first time. The local fractional derivative (LFD) and the local fractional integral (LFI) in the fractional (real and complex) sets, the series and transforms involving the Mittag-Leffler function defined on Cantor sets are introduced and reviewed. The uniqueness of the solutions of the local fractional differential and integral equations and the local fractional inequalities are considered in detail. The local fractional vector calculus is applied to describe the Rice theory in fractal fracture mechanics. tr_TR
dc.language.iso eng tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Local Fractional Calculus tr_TR
dc.subject Local Fractional Derivative tr_TR
dc.subject Local Fractional Integral tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.subject Local Fractional Vector Calculus tr_TR
dc.subject Local Fractional Partial Differential Equation tr_TR
dc.subject Local Fractional Integral Transform tr_TR
dc.subject Local Fractional Integral Equation tr_TR
dc.subject Local Fractional Inequality tr_TR
dc.subject Rice Theory tr_TR
dc.subject Fractal Fracture Mechanics tr_TR
dc.subject Fractals tr_TR
dc.title Advanced Analysis of Local Fractional Calculus Applied to the Rice Theory in Fractal Fracture Mechanics tr_TR
dc.type bookPart tr_TR
dc.relation.journal Methods of Mathematical Modelling and Computation for Complex Systems tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 373 tr_TR
dc.identifier.startpage 105 tr_TR
dc.identifier.endpage 133 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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