Advanced Analysis of Local Fractional Calculus Applied To the Rice Theory in Fractal Fracture Mechanics
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Srivastava, H.M. | |
| dc.contributor.author | Yang, X.-J. | |
| dc.date.accessioned | 2024-02-15T13:28:25Z | |
| dc.date.accessioned | 2025-09-18T15:44:51Z | |
| dc.date.available | 2024-02-15T13:28:25Z | |
| dc.date.available | 2025-09-18T15:44:51Z | |
| dc.date.issued | 2022 | |
| 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. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1007/978-3-030-77169-0_5 | |
| dc.identifier.issn | 2198-4182 | |
| dc.identifier.scopus | 2-s2.0-85114901266 | |
| dc.identifier.uri | https://doi.org/10.1007/978-3-030-77169-0_5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14432 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | en_US |
| dc.relation.ispartof | Studies in Systems, Decision and Control | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Fracture Mechanics | en_US |
| dc.subject | Fractals | en_US |
| dc.subject | Local Fractional Calculus | en_US |
| dc.subject | Local Fractional Derivative | en_US |
| dc.subject | Local Fractional Inequality | en_US |
| dc.subject | Local Fractional Integral | en_US |
| dc.subject | Local Fractional Integral Equation | en_US |
| dc.subject | Local Fractional Integral Transform | en_US |
| dc.subject | Local Fractional Partial Differential Equation | en_US |
| dc.subject | Local Fractional Vector Calculus | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Rice Theory | en_US |
| dc.title | Advanced Analysis of Local Fractional Calculus Applied To the Rice Theory in Fractal Fracture Mechanics | en_US |
| dc.title | Advanced Analysis of Local Fractional Calculus Applied to the Rice Theory in Fractal Fracture Mechanics | tr_TR |
| dc.type | Book Part | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Yang X.-J., State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, China; Baleanu D., Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, Ankara, 06790, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania; Srivastava H.M., Department of Mathematics and Statistics, University of Victoria, V8W 3R4, Victoria, BC, Canada, Department of Medical Research, China Medical University Hospital China Medical University, Taichung, 40402, Taiwan | en_US |
| gdc.description.endpage | 133 | en_US |
| gdc.description.publicationcategory | Kitap Bölümü - Uluslararası | en_US |
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| gdc.description.startpage | 105 | en_US |
| gdc.description.volume | 373 | en_US |
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| gdc.virtual.author | Baleanu, Dumitru | |
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