Meraa Arab on Muck Rack

Meraa Arab

As seen in: Nature, MDPI, Dialnet - Universidad de La Rioja
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Articles

A Novel Approach to Nonlinear Fractional Volterra-Fredholm Integro-Differential Equations via Caputo-Katugampola Operators

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By Meraa Arab, Abdulrahman A. Sharif, A. Sharif
| Dialnet - Universidad de La Rioja
Ayuda Buscar en la ayuda Buscar en la ayuda A Novel Approach to Nonlinear Fractional Volterra-Fredholm Integro-Differential Equations via Caputo-Katugampola Operators Meraa Arab [1] ; Abdulrahman A.
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Applications of Lucas sequences in convergence and signal processing

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By Majeed Ahmad Yousif, Ibrahim Sulaiman Ibrahim, Meraa Arab, Dumitru Baleanu, Pshtiwan Othman Mohammed
| Nature Verified
Abstract In this paper we propose a new perspective related to Lucas sequence with statistical and summability, some considerations have been given in connection with their applications of signal processing. We define the notions of \(\lambda\)-Lucas statistically convergent and strongly \(\lambda\)-Lucas summability through modulus functions.
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Stability analysis of discrete delta fractional models under summation multipoint constraints for robust engineering systems - Scientific Reports

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By Pshtiwan Othman Mohammed, Eman Al-Sarairah, Dumitru Baleanu, Majeed Ahmad Yousif, Meraa Arab
| Nature Verified
Abstract When real-world systems like sensor networks or controllers face small disturbances, do their discrete fractional models stay reliable? We tackle this for a critical but unstudied problem: discrete delta fractional equations with summation multipoint boundary conditions (SMBCs). First, we build the mathematical foundation—the Green’s function—to prove solutions exist and are unique under Lipschitz conditions.
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