Browsing by Author "Alqurashi, Maysaa"

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Citation Count: Khan, Aziz...et al. (2018). "A fixed point theorem on multiplicative metric space with integral-type inequality", Journal of Mathematics and Computer Science-Jmcs, Vol. 18, No. 1, pp. 18-28.
A fixed point theorem on multiplicative metric space with integral-type inequality
(Journal Mathematics & Computer Science-Jmcs, 2018) Khan, Aziz; Khan, Hasib; Baleanu, Dumitru; Jafari, Hossein; Khan, Tahir Saeed; Alqurashi, Maysaa; 56389
In this paper, we prove fixed point theorems (FPTs) on multiplicative metric space (MMS) (X, triangle) by the help of integral-type contractions of self-quadruple mappings (SQMs), i.e., for p(1), p(2), p(3), p(4) : X -> R. For this, we assume that the SQMs are weakly compatible mappings and the pairs (p(1), p(3)) and (p(2), p(4)) satisfy the property (CLRp3p4). Further, two corollaries are produced from our main theorem as special cases. The novelty of these results is that for the unique common fixed point (CFP) of the SQMs p(1), p(2), p(3), p(4), we do not need to the assumption of completeness of the MMS (X, triangle). These results generalize the work of Abdou, [A. A. N. Abdou, J. Nonlinear Sci. Appl., 9 (2016), 2244-2257], and many others in the available literature.
Citation Count: Baleanu, Dumitru...et al. (2017). Extension of the fractional derivative operator of the Riemann-Liouville, Journal of Nonlinear Sciences And Applications, 10(6), 2914-2924.
Extension of the fractional derivative operator of the Riemann-Liouville
(Int Scientific Research Publications, 2017) Baleanu, Dumitru; Agarwal, Ravi P.; Parmar, Rakesh K.; Alqurashi, Maysaa; Salahshour, Soheil; 56389
By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions. (C) 2017 All rights reserved.
Citation Count: Baleanu, Dumitru...et al. (2019). "One dimensional fractional frequency Fourier transform by inverse difference operator", Advances in Difference Equations.
One dimensional fractional frequency Fourier transform by inverse difference operator
(Springer Open, 2019) Baleanu, Dumitru; Alqurashi, Maysaa; Murugesan, Meganathan; Gnanaprakasam, Britto Antony Xavier; 56389
This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations. It is evident that fractional difference operators are used to formulate for finding the solutions of problems of distinct physical phenomena. While executing the fractional Fourier transforms, a new technique describing the mechanism of interaction between fractional difference equations and fractional differential equations will be introduced as h tends to zero. Moreover, by employing the theory of discrete fractional Fourier transform of fractional calculus, the modeling techniques will be improved, which would help to construct advanced equipments based on fractional transforms technology using fractional Fourier decomposition method. Numerical examples with graphs are verified and generated by MATLAB.