干旱区生态环境知识资源中心(Arid): FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES

Arid

DOI	10.1142/S0218348X19500786
	FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES
	Sarwar, Shahzad
通讯作者	Sarwar, Shahzad
来源期刊	FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
ISSN	0218-348X
EISSN	1793-6543
出版年	2019
卷号	27 期号:5
英文摘要	Supersingular integrals arise in many areas of applied mathematics: Fluid dynamics arid fracture mechanics are among the most important ones. This paper is devoted to investigating the relationship between Riesz, Riesz-Caputo, Hilfer fractional derivatives and the corresponding finite part integrals in Hadamard sense. We prove that Riesz, Riesz-Caputo, and Hilfer derivatives of a given function can be expressed by the finite part integrals of a supersingular integrals which do not exist.
英文关键词	Fractional Derivative Riesz Derivative Hilfer Derivative Finite Part Integral Supersingular
类型	Article
语种	英语
国家	Pakistan
收录类别	SCI-E
WOS记录号	WOS:000484177000010
WOS关键词	NUMERICAL EVALUATION ; QUADRATURE-RULES
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS研究方向	Mathematics ; Science & Technology - Other Topics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/215710
作者单位	COMSATS Univ Islamabad, Dept Math, Sahiwal Campus, Sahiwal 57000, Pakistan
推荐引用方式 GB/T 7714	Sarwar, Shahzad. FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES[J],2019,27(5).
APA	Sarwar, Shahzad.(2019).FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES.FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY,27(5).
MLA	Sarwar, Shahzad."FINITE PART INTEGRALS ASSOCIATED WITH RIESZ AND HILFER DERIVATIVES".FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 27.5(2019).

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