Browsing by Author "Zeng, Shengda"

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Citation - WoS: 82
Citation - Scopus: 85
Fractional Differential Equations of Caputo-Katugampola Type and Numerical Solutions
(Elsevier Science inc, 2017) Baleanu, Dumitru; Bai, Yunru; Wu, Guocheng; Zeng, Shengda
This paper is concerned with a numerical method for solving generalized fractional differential equation of Caputo-Katugampola derivative. A corresponding discretization technique is proposed. Numerical solutions are obtained and convergence of numerical formulae is discussed. The convergence speed arrives at O(Delta T1-alpha). Numerical examples are given to test the accuracy. (C) 2017 Elsevier Inc. All rights reserved.
Citation - WoS: 32
Inequalities of Trapezoidal Type Involving Generalized Fractional Integrals
(Elsevier, 2020) Mohammed, Pshtiwan Othman; Zeng, Shengda; Baleanu, Dumitru
During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for lambda(phi)-preinvexfunctions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical integral and Riemann-Liouville fractional integrals, respectively. Finally, we apply our new inequalities to construct inequalities involving moments of a continuous random variable. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.