iosr-Jm   Volume-19 ~ Issue-4 ~ July – Aug. 2023

Abstract : In recent years, the internet plays a vital role in education, business and other industries. Tons of data are transferred using the internet. This results in a number of concerns, including data confidentiality, user authenticity, non-repudiation and so on. To address this issue, more research on digital signatures should be conducted in order to increase the data security and authenticity of transferred data. Digital Signature is an electronic signature that can be used to authenticate the identity of the sender. It ensures that the content of the message or document that has been sent is unchanged. In this study, a new digital signature method is mathematically modelled using the Elliptic Curve Digital Signature Algorithm (ECDSA) and Rabin encryption technique. It provides features like confidentiality, non-repudiation and authenticity.

Keywords: Digital Signature, ECDSA, Rabin encryption technique

[1]. Asbullah, M. A., Ariffin, M. R. K. (2016). "Algebraic Analysis Of A Rabin-Like Cryptosystem And Its Countermeasures". Indian Journal Of Science And Technology, 9(1), 1-5.
[2]. Asbullah, M. A., & Ariffin, M. R. K. (2016). "Design Of Rabin-Like Cryptosystem Without Decryption Failure". Malaysian Journal Of Mathematical Sciences, 10, 1-18.
[3]. Benjamin K. (2017). "Elliptic Curve Digital Signatures And Their Application In The Bitcoin Crypto-Currency Transactions", International Journal Of Scientific And Research Publications (IJSRP), Volume 7, Issue 11, ISSN 2250-3153.
[4]. Budiman, M. A., Rachmawati, D., & Utami, R. (2019, June). "The Cryptanalysis Of The Rabin Public Key Algorithm Using The Fermat Factorization Method". In Journal Of Physics: Conference Series (Vol. 1235, No. 1, P. 012084). IOP Publishing.
[5]. Don J., Alfred M., Scott V. (2001). "The Elliptic Curve Digital Signature Algorithm (ECDSA)", International Journal Of Information Security 1, No. 1, Pp.36-63..

Abstract : The inventory model (IM) for products with inventory-dependent demand levels (IDDL) was considered in the study. In this model, wear time was assumed to follow a modified three-parameter Weibull distribution while the demand rate (DR) was a quadratic function (QF) with shortages permitted and no backlog. The model was examined under the presumption that the deficit is manageable and has only partially accrued. To reduce the cost of inventory every cycle, the study addresses the ideal replenishment strategy in terms of the number of goods and the duration of storage. The three-parameter Weibull Hazard Index illustrates the effect of both obsolete and potentially....

Keywords: Inventory; Optimal, Stock-dependent; Modified Three-parameter Weibull, EOQ

[1]. Sanni, S. S. And Chukwu, W.I.E. (2016). An Inventory Model With Three-Parameter Weibull Deterioration, Quadratic Demand Rate And Short-Ages, American Journal Of Mathematical And Management Sciences, 35(2): 159-170.
[2]. Ouyang, L-Y., Wu, K-S., Cheng, M-C. (2005).An Inventory Model For Deteriorating Items With Exponential Declining Demand And Partial Backlogging, Yugoslav Journal Of Operations Re-Search, 15(2): 277-288.
[3]. Sanni, S. S. And Chukwu, W.I.E. (2013). An Economic Order Quantity Model For Items With Three-Parameter Weibull Distribution Deterioration, Ramp-Type Demand And Shortages, Applied Mathematical Modeling, 37: 9698-9706.
[4]. Kumar, S. And Rajput, U.S. (2014). A Two Warehouse Inventory Model For Non-Instantaneous Deteriorating Items With Time-Dependent Demand And Partial Backlogging, International Journal Of Applied Engineering Re-Search, 9(11): 1347-1356.
[5]. Tyagi, R. And Chouhan, P. (2015). An Inventory Model For Non-Instantaneous Deteriorating Items With Partial Backlogging And Stock-Dependent Demand, International Journal Of Mathematics And Computer Applications Research, 5(1): 1-6.

Abstract : In This Article, The Collection.....

Keywords: Integer Sequence, Diophantine 4-Tuples

[1]. Diophantus Of Alexandria, "Arithmetics And The Book Of Polygonal Numbers", I. G. Bashmakova, Ed., 1974, 85-86. [2]. Ezra Brown, "Sets In Which Xy+ K Is Always A Square", Mathematics Of Computation, 1985,45, 172, 613-620.
[3]. A. Dujella, "Some Polynomial Formulas For Diophantine Quadruples", 1996.
[4]. Eran Assaf And Shay Gueron, "Characterization Of Regular Diophantine Quadruples", Elemente Der Mathematik, 2001,56(2), 71-81.
[5]. A. Dujella, "There Are Only Finitely Many Diophantine Quintuples", 2004,183-214.
[6]. Alan Filipin And Yasutsugu Fujita, "Any Polynomial D (4) - Quadruple Is Regular", Mathematical Communications, 13(1), 2008, 45-55...

Abstract : The solutions of differential equations can be obtained using different analytical methods. Many transform methods have been applied to differential equations and results were obtained. Coupled systems of linear ordinary differential equations often occur in context where two or three different variables are expected to interact. Context such as in population models, mechanical systems, and in electrical engineering. This study showcases the applicability of the new integral transform, Kamal transform, to coupled systems of linear ordinary differential equations by solving three different coupled systems of linear ordinary differential equations..

Keywords: Kamal transform, Ordinary differential equation, Coupled systems, Mechanical systems, Intergral transform

[1]. Abdelilah Kamal H. Sedeeg (2016). The New Integral Transform "Kamal Transform".
[2]. Advances in Theoretical and Applied Mathematics. ISSN 0973 – 4554 Volume 11, Number 4, pp 45 – 48
[3]. Abdelilah Hassan Sedeeg and Zahra I. Adam Mahamoud (2017). The Use of Kamal Transform for Solving Partial Differential
equations. Advances in Theoritical and Applied Mathematics. ISSN 0973 – 4554 Volume 12, No 1, pp 7-13
[4]. Anjana Gupta, Sudhaushu Aggarwal and Deeksha Agrawal (2018). Solution of Linear Partial Integro-Differential Equations Using
Kamal Transform.
[5]. Antony Raj Aruldass, Divyakumari Pachaiyappan, and Choonkil Park (2021). Kamal Transform and Ulam Stability of Differential
Equations. Journal of Applied Analysis & Computation. 11(3): 1631-1639.