Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 27Citation - Scopus: 28On Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivatives(Mdpi, 2019) Jarad, Fahd; Sene, Ndolane; Abdeljawad, Thabet; Madjidi, FadilaIn this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of these solutions. Using successive approximation, we find a formula for the solution of a special case. Then, using a modified Laplace transform and the Lyapunov direct method, we prove the Mittag-Leffler stability of the considered system.Article Citation - WoS: 1Citation - Scopus: 1Int N-Soft Substructures of Semigroups(Mdpi, 2023) Jawad, Muhammad; Naz, Munazza; Jarad, Fahd; Abdeljawad, Thabet; Shabir, Muhammad; Mushtaq, RimshaThe N-soft sets are newly defined structures with many applications in the real world. We aim for combining the semigroup theory and N-soft sets to provide a comprehensive account of the hybrid framework of N-soft Semigroups. In this paper, we define the gamma-inclusive set, int N-soft subsemigroups, int N-soft left [right] ideals of S, int N-soft product and int N-soft characteristic function, theta-Generalized int N-soft subsemigroups and theta-Generalized int N-soft left [right] ideals of S. We also discuss some examples and theorems based on the restricted (extended) union, restricted (extended) intersection, and gamma-inclusive set.Article Citation - WoS: 31Citation - Scopus: 32Bounds of Generalized Proportional Fractional Integrals in General Form Via Convex Functions and Their Applications(Mdpi, 2020) Jarad, Fahd; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Abdeljawad, ThabetIn this paper, our objective is to apply a new approach to establish bounds of sums of left and right proportional fractional integrals of a general type and obtain some related inequalities. From the obtained results, we deduce some new inequalities for classical generalized proportional fractional integrals as corollaries. These inequalities have a connection with some known and existing inequalities which are mentioned in the literature. In addition, some applications of the main results are presented.Article Citation - WoS: 3Citation - Scopus: 4Common Fixed Point Theorem Via Cyclic (Α, Β) - (ψ,φ)s-Contraction With Applications(Mdpi, 2019) Jarad, Fahd; Abdeljawad, Thabet; Zada, Mian Bahadur; Sarwar, MuhammadIn this paper, we introduce the notion of cyclic (alpha, beta) - (psi,phi)(S)-rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.Article Citation - WoS: 36Citation - Scopus: 55Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications(Mdpi, 2019) Jarad, Fahd; Noor, Muhammad Aslam; Rashid, Saima; Abdeljawad, ThabetIn the present paper, we investigate some Hermite-Hadamard (HH) inequalities related to generalized Riemann-Liouville fractional integral (GRLFI) via exponentially convex functions. We also show the fundamental identity for GRLFI having the first order derivative of a given exponentially convex function. Monotonicity and exponentially convexity of functions are used with some traditional and forthright inequalities. In the application part, we give examples and new inequalities for the special means.