Browsing by Author "Arshad, Muhammad"

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Citation - WoS: 88
The Extended Mittag-Leffler Function Via Fractional Calculus
(int Scientific Research Publications, 2017) Baleanu, Dumitru; Al Qurashi, Maysaa; Purohit, Sunil Dutt; Mubeen, Shahid; Arshad, Muhammad; Rahman, Gauhar; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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. (C) 2017 All rights reserved.
Citation - WoS: 4
Citation - Scopus: 4
Novel Results on Fixed-Point Methodologies for Hybrid Contraction Mappings in Mb-Metric Spaces With an Application
(Amer inst Mathematical Sciences-aims, 2023) Hammad, Hasanen A.; Ameer, Eskandar; Arshad, Muhammad; Jarad, Fahd; Mudhesh, Mustafa; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
By combining the results of Wardowski's cyclic contraction operators and admissible multi -valued mappings, the motif of eta-cyclic (alpha(*), beta(*))-admissible type F-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.
Citation - WoS: 3
Citation - Scopus: 2
Solving a Fredholm Integral Equation Via Coupled Fixed Point on Bicomplex Partial Metric Space
(Amer inst Mathematical Sciences-aims, 2022) Gnanaprakasam, Arul Joseph; Javed, Khalil; Arshad, Muhammad; Jarad, Fahd; Mani, Gunaseelan; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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) Nisar, Kottakkaran Sooppy; Rahman, G.; Baleanu, Dumitru; Mubeen, S.; Arshad, Muhammad; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
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.