Fractional differential and integral operations via cumulative approach
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5450
Abstract: In this study, a fractal operator model of cumulative processes is described. Accordingly, differential and integral operators of the fractional calculus are derived by the fractal operator model of a cumulative process. In order to… read more here.
Keywords: integral operations; differential integral; approach fractional; cumulative approach ... See more keywords
Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations
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DOI: 10.1515/ms-2017-0082
Abstract: Abstract In this paper we are going to apply the Henstock-Kurzweil integrals defined on an unbounded intervals to differential and integral equations defined on such intervals. To deal with linear differential equations we examine convolution… read more here.
Keywords: kurzweil integrals; applications henstock; henstock kurzweil; integral equations ... See more keywords
New Symmetric Differential and Integral Operators Defined in the Complex Domain
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DOI: 10.3390/sym11070906
Abstract: The symmetric differential operator is a generalization operating of the well-known ordinary derivative. These operators have advantages in boundary value problems, statistical studies and spectral theory. In this effort, we introduce a new symmetric differential… read more here.
Keywords: differential integral; operator; differential operator; integral operators ... See more keywords