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Discrete Fractional Alpha Mixed Difference and Its Sums.

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Title: Discrete Fractional Alpha Mixed Difference and Its Sums.
Authors: S., Geethalakshmi1 geethathiru126@gmail.com, G., Britto Antony Xavier2 brittoshc@gmail.com, V., Rexma Sherine3 rexmaprabu123@gmail.com, M., Abisha3 mabisha1996@gmail.com, D., Saraswathi3 dswathisaranya@gmail.com, S., Divya Bharathi3 divyabharathitacw@gmail.com
Source: IAENG International Journal of Applied Mathematics. Aug2025, Vol. 55 Issue 8, p2474-2481. 8p.
Subjects: Difference equations, Difference operators, Mathematics theorems, Fractional differential equations, Operator equations
Abstract: This paper investigates higher-order mixed alpha operators within the framework of finite difference equations. We developed theorems and corollaries for integer order (mth order) anti-difference principle using the (q, h)α difference operator. Furthermore, we have obtained theorems, supported by appropriate examples. We lastly examine a GDP model that is controlled by a fractional differential equation that incorporates the mixed alpha difference operator. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: Discrete Fractional Alpha Mixed Difference and Its Sums.
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  Data: <searchLink fieldCode="AR" term="%22S%2E%2C+Geethalakshmi%22">S., Geethalakshmi</searchLink><relatesTo>1</relatesTo><i> geethathiru126@gmail.com</i><br /><searchLink fieldCode="AR" term="%22G%2E%2C+Britto+Antony+Xavier%22">G., Britto Antony Xavier</searchLink><relatesTo>2</relatesTo><i> brittoshc@gmail.com</i><br /><searchLink fieldCode="AR" term="%22V%2E%2C+Rexma+Sherine%22">V., Rexma Sherine</searchLink><relatesTo>3</relatesTo><i> rexmaprabu123@gmail.com</i><br /><searchLink fieldCode="AR" term="%22M%2E%2C+Abisha%22">M., Abisha</searchLink><relatesTo>3</relatesTo><i> mabisha1996@gmail.com</i><br /><searchLink fieldCode="AR" term="%22D%2E%2C+Saraswathi%22">D., Saraswathi</searchLink><relatesTo>3</relatesTo><i> dswathisaranya@gmail.com</i><br /><searchLink fieldCode="AR" term="%22S%2E%2C+Divya+Bharathi%22">S., Divya Bharathi</searchLink><relatesTo>3</relatesTo><i> divyabharathitacw@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Aug2025, Vol. 55 Issue 8, p2474-2481. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Difference+equations%22">Difference equations</searchLink><br /><searchLink fieldCode="DE" term="%22Difference+operators%22">Difference operators</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+theorems%22">Mathematics theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+equations%22">Operator equations</searchLink>
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  Data: This paper investigates higher-order mixed alpha operators within the framework of finite difference equations. We developed theorems and corollaries for integer order (mth order) anti-difference principle using the (q, h)α difference operator. Furthermore, we have obtained theorems, supported by appropriate examples. We lastly examine a GDP model that is controlled by a fractional differential equation that incorporates the mixed alpha difference operator. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: Mathematics theorems
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      – SubjectFull: Fractional differential equations
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              Text: Aug2025
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