A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator
By using the generalization of the gamma function (p−gamma function: Γp(.)), we introduce a generalization of the fractal-fractional calculus which is called p−fractal-fractional calculus. Examples are illustrated including the basic power functions. As applications, we formulate the p−fractal-frac...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2025-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/723 |
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| _version_ | 1849431711269519360 |
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| author | R.W. Ibrahim S. Momani |
| author_facet | R.W. Ibrahim S. Momani |
| author_sort | R.W. Ibrahim |
| collection | DOAJ |
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By using the generalization of the gamma function (p−gamma function: Γp(.)), we introduce a generalization of the fractal-fractional calculus which is called p−fractal-fractional calculus. Examples are illustrated including the basic power functions. As applications, we formulate the p−fractal-fractional difference operators. A class of maps, called gingerbread-man maps, is investigated. We present a new idea of a stability for continuous system, based on three parameters. Sufficient conditions are illustrated to obtain the stability of the system.
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| format | Article |
| id | doaj-art-9c0e2835efc54eae89338b536d683bda |
| institution | Kabale University |
| issn | 2518-7929 2663-5011 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj-art-9c0e2835efc54eae89338b536d683bda2025-08-20T03:27:33ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112025-06-01118210.31489/2025m2/76-92A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operatorR.W. Ibrahim0https://orcid.org/0000-0001-9341-025XS. Momani1https://orcid.org/0000-0002-6326-8456Al-Ayen University, Thi-Qar, IraqAjman University, Ajman, UAE; The University of Jordan, Amman, Jordan By using the generalization of the gamma function (p−gamma function: Γp(.)), we introduce a generalization of the fractal-fractional calculus which is called p−fractal-fractional calculus. Examples are illustrated including the basic power functions. As applications, we formulate the p−fractal-fractional difference operators. A class of maps, called gingerbread-man maps, is investigated. We present a new idea of a stability for continuous system, based on three parameters. Sufficient conditions are illustrated to obtain the stability of the system. https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/723fractional calculusfractal calculusfractional difference operatorfractal-fractional differential operatorfractal-fractional calculusfractal-fractional discrete operator |
| spellingShingle | R.W. Ibrahim S. Momani A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator Қарағанды университетінің хабаршысы. Математика сериясы fractional calculus fractal calculus fractional difference operator fractal-fractional differential operator fractal-fractional calculus fractal-fractional discrete operator |
| title | A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator |
| title_full | A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator |
| title_fullStr | A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator |
| title_full_unstemmed | A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator |
| title_short | A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator |
| title_sort | fractal fractional gingerbread man map generalized by p fractal fractional difference operator |
| topic | fractional calculus fractal calculus fractional difference operator fractal-fractional differential operator fractal-fractional calculus fractal-fractional discrete operator |
| url | https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/723 |
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