2019
DOI: 10.46481/jnsps.2019.31
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Solution of Fractional Order Equations in the Domain of the Mellin Transform

Abstract: This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology. The Mellin transform of fractional calculus of different flavours; namely the Riemann-Liouville fractional derivative, Riemann-Liouville fractional integral, Caputo fractional derivative and the Miller-Ross sequential fractional derivative were obtained. Three illustrative examples were considered to discuss the applications of th… Show more

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Cited by 13 publications
(10 citation statements)
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“…Also, to have more new hypotheses under present assessments, new extension and applications can be investigated with some positive and novel results in different fields of science, particularly, in GFT. For more details about the applications, one may go through [32,33].…”
Section: Discussionmentioning
confidence: 99%
“…Also, to have more new hypotheses under present assessments, new extension and applications can be investigated with some positive and novel results in different fields of science, particularly, in GFT. For more details about the applications, one may go through [32,33].…”
Section: Discussionmentioning
confidence: 99%
“…The results show that the presented method was efficient and applicable. Fadugba [21] presented the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.…”
Section: Introductionmentioning
confidence: 99%
“…Practical dynamics phenomena from real life situations were described by differential and integral equations of non-integer order, see [1][2][3][4][5][6][7][8][9][10][11][12], just to mention a few. According to [13][14][15], iterative methods for differential equations of different classes were used widely.…”
Section: Introductionmentioning
confidence: 99%
“…Practical dynamics phenomena from real life situations were described by differential and integral equations of non-integer order, see [1][2][3][4][5][6][7][8][9][10][11][12], just to mention a few. According to [13][14][15], iterative methods for differential equations of different classes were used widely. The scope of this study captures the use of non-integer iterative method for direct solution of the PDE models in the sense of Caputo fractional operator.…”
Section: Introductionmentioning
confidence: 99%