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Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function
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| Zeitschriftentitel: | Mathematics |
|---|---|
| Personen und Körperschaften: | , , , , |
| In: | Mathematics, 7, 2019, 12, S. 1225 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
MDPI AG
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| Schlagwörter: |
| author_facet |
Rashid, Saima Jarad, Fahd Noor, Muhammad Aslam Kalsoom, Humaira Chu, Yu-Ming Rashid, Saima Jarad, Fahd Noor, Muhammad Aslam Kalsoom, Humaira Chu, Yu-Ming |
|---|---|
| author |
Rashid, Saima Jarad, Fahd Noor, Muhammad Aslam Kalsoom, Humaira Chu, Yu-Ming |
| spellingShingle |
Rashid, Saima Jarad, Fahd Noor, Muhammad Aslam Kalsoom, Humaira Chu, Yu-Ming Mathematics Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) |
| author_sort |
rashid, saima |
| spelling |
Rashid, Saima Jarad, Fahd Noor, Muhammad Aslam Kalsoom, Humaira Chu, Yu-Ming 2227-7390 MDPI AG General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/math7121225 <jats:p>In this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Ψ . The authors prove several inequalities for newly defined GPF-integral with respect to another function Ψ . Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Ψ and the proportionality index ς . Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.</jats:p> Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function Mathematics |
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| title |
Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_unstemmed |
Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_full |
Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_fullStr |
Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_full_unstemmed |
Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_short |
Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_sort |
inequalities by means of generalized proportional fractional integral operators with respect to another function |
| topic |
General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) |
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http://dx.doi.org/10.3390/math7121225 |
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2019 |
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1225 |
| description |
<jats:p>In this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Ψ . The authors prove several inequalities for newly defined GPF-integral with respect to another function Ψ . Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Ψ and the proportionality index ς . Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.</jats:p> |
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| author | Rashid, Saima, Jarad, Fahd, Noor, Muhammad Aslam, Kalsoom, Humaira, Chu, Yu-Ming |
| author_facet | Rashid, Saima, Jarad, Fahd, Noor, Muhammad Aslam, Kalsoom, Humaira, Chu, Yu-Ming, Rashid, Saima, Jarad, Fahd, Noor, Muhammad Aslam, Kalsoom, Humaira, Chu, Yu-Ming |
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| description | <jats:p>In this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Ψ . The authors prove several inequalities for newly defined GPF-integral with respect to another function Ψ . Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Ψ and the proportionality index ς . Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.</jats:p> |
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| spelling | Rashid, Saima Jarad, Fahd Noor, Muhammad Aslam Kalsoom, Humaira Chu, Yu-Ming 2227-7390 MDPI AG General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/math7121225 <jats:p>In this article, we define a new fractional technique which is known as generalized proportional fractional (GPF) integral in the sense of another function Ψ . The authors prove several inequalities for newly defined GPF-integral with respect to another function Ψ . Our consequences will give noted outcomes for a suitable variation to the GPF-integral in the sense of another function Ψ and the proportionality index ς . Furthermore, we present the application of the novel operator with several integral inequalities. A few new properties are exhibited, and the numerical approximation of these new operators is introduced with certain utilities to real-world problems.</jats:p> Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function Mathematics |
| spellingShingle | Rashid, Saima, Jarad, Fahd, Noor, Muhammad Aslam, Kalsoom, Humaira, Chu, Yu-Ming, Mathematics, Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function, General Mathematics, Engineering (miscellaneous), Computer Science (miscellaneous) |
| title | Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_full | Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_fullStr | Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_full_unstemmed | Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_short | Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| title_sort | inequalities by means of generalized proportional fractional integral operators with respect to another function |
| title_unstemmed | Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function |
| topic | General Mathematics, Engineering (miscellaneous), Computer Science (miscellaneous) |
| url | http://dx.doi.org/10.3390/math7121225 |