Browsing by Author "Arshad, Muhammad"

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Novel results on fixed-point methodologies for hybrid contraction mappings in Mb-metric spaces with an application
(2023) Jarad, Fahd; Hammad, Hasanen A.; Ameer, Eskandar; Arshad, Muhammad; Jarad, Fahd; 234808
By combining the results of Wardowski’s cyclic contraction operators and admissible multi-valued mappings, the motif of η-cyclic (α∗, β∗)-admissible type Ϝ-contraction multivalued mappings are presented. Moreover, some novel fixed point theorems for such mappings are proved in the context of Mb-metric spaces. Also, two examples are given to clarify and strengthen our theoretical study. Finally, the existence of a solution of a pair of ordinary differential equations is discussed as an application.
Solving a Fredholm integral equation via coupled fixed point on bicomplex partial metric space
(2022) Jarad, Fahd; Gnanaprakasam, Arul Joseph; Javed, Khalil; Arshad, Muhammad; Jarad, Fahd; 234808
In this paper, we obtain some coupled fixed point theorems on a bicomplex partial metric space. An example and an application to support our result are presented.
The (k, s)-fractional calculus of k-Mittag-Leffler function
(Springer Open, 2017) Baleanu, Dumitru; Rahman, G.; Baleanu, Dumitru; Mubeen, S.; Arshad, Muhammad; 56389
In this paper, we introduce the (k, s)-fractional integral and differential operators involving k-Mittag-Leffler function E-k,rho,beta(delta) (z) as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.
The (k, s)-fractional calculus of k-Mittag-Leffler function (vol 2017, 118, 2017)
(Springer International Publishing AG, 2017) Baleanu, Dumitru; Rahman, G.; Baleanu, Dumitru; Mubeen, S.; Arshad, Muhammad; 56389
In this note we present some corrections to our previous paper
The extended Mittag-Leffler function via fractional calculus
(Int Scientific Research Publications, 2017) Baleanu, Dumitru; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed; Purohit, Sunil Dutt; Mubeen, Shahid; Arshad, Muhammad
In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: E-alpha,beta(gamma;q,c) (z) = Sigma(infinity)(n=0) B-p (gamma + nq, c - gamma)(c)(nq) z(n)/B(gamma, c - gamma)Gamma(alpha n + beta) n!' (z,beta,gamma is an element of C), as its kernel. We also investigate a certain number of their consequences containing the said function in their kernels.