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Your search keyword '"Elsayed, E. M."' showing total 5 results
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5 results on '"Elsayed, E. M."'

4. Existence and Ulam stability results for a class of boundary value problem of neutral pantograph equations with complex order

Author

Vivek, D., Elsayed, E. M., and Kanagarajan, K.

Abstract

The research reported in this paper deals with the existence of solutions of boundary value problem (BVP) of nonlinear neutral pantograph equations by means of complex fractional derivative in weighted spaces. The results were interpreted with the aid of classical fixed point theorems. The Ulam–Hyers–Rassias stability and Ulam–Hyers stability of differential equations are studied by utilizing the complex fractional derivative through the fixed point method.

Published
2024
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5. Spectral codes of real symmetric operators for error correction.

Author

Suresh Babu, N., Ravivarma, B., Elsayed, E. M., and Sreekumar, K. G.

Subjects
*SYMMETRIC operators, *REAL numbers, *TELECOMMUNICATION systems, *ERROR-correcting codes
Abstract

In this paper, we introduce a novel class of real number codes termed as ℝ-spectral codes, derived from real symmetric operators. Our focus is on addressing the challenges associated with error correction in communication systems utilizing real number codes. Our study initiates with a meticulous definition and analysis of the fundamental properties of ℝ-spectral codes. These properties serve as the foundation for comprehending the distinctive characteristics that ℝ-spectral codes offer, ensuring the integrity and reliability of transmitted data. Our exploration extends to the construction of maximum distance separable (MDS) ℝ-spectral codes, which boast the maximum error correction capability. As a culmination of our research, we present an efficient decoding technique tailored for ℝ-spectral codes. Leveraging an MDS ℝ-spectral code and our decoding technique, we achieve optimal error correction and ensure good numerical stability. This innovative approach opens new avenues for enhancing the performance of real-number codes in practical applications. [ABSTRACT FROM AUTHOR]

Published
2024
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