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   Articles with "differential integral" as a keyword



Fractional differential and integral operations via cumulative approach

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recommendations! 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
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Applications of Henstock-Kurzweil integrals on an unbounded interval to differential and integral equations

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recommendations! Published in 2018 at "Mathematica Slovaca"

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

Equivalence Between Fractional Differential Problems and Their Corresponding Integral Forms with the Pettis Integral

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recommendations! Published in 2024 at "Mathematics"

DOI: 10.3390/math12233642

Abstract: The problem of equivalence between differential and integral problems is absolutely crucial when applying solution methods based on operators and their properties in function spaces. In this paper, we complement the solution of this important… read more here.

Keywords: differential integral; fractional order; problem; equivalence differential ... See more keywords

New Symmetric Differential and Integral Operators Defined in the Complex Domain

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recommendations! Published in 2019 at "Symmetry"

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