Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article On Multiplicative Fractional Operators of Hadamard and Katugampola Types in G-Calculus and Related Hermite-Hadamard Inequalities(World Scientific Publ Co Pte Ltd, 2026) Abdeljawad, Thabet; Lakhdari, Abdelghani; Jarad, Fahd; Budak, Hüseyin; Alqudah, Manar AThis paper explores the extension of classical fractional operators to the framework of G-calculus, a non-Newtonian calculus in which differentiation and integration are defined via multiplicative analogs of their classical counterparts. We begin by recalling key concepts from both fractional calculus and G-calculus. Next, we revisit the recently introduced multiplicative Riemann-Liouville fractional operators and extend the multiplicative Riemann-Liouville fractional derivative to arbitrary order alpha > 0. Building on this foundation, we introduce multiplicative versions of the Hadamard and Katugampola fractional integrals and derivatives. Finally, we establish Hermite-Hadamard inequalities for both newly defined integrals.Article Nonlinear Dynamics and Chaos in Fractional-Order Cardiac Action Potential Duration Mapping Model(Global Science Press, 2026) Bououden, Rabah; Abdelouahab, Mohammed S.; Houmor, Tarek; Jarad, FahdArticle Mathematical Analysis and Numerical Simulations of Ternary Hybrid Nanoparticles Using Eyring Prandtl Model(Engineered Science Publisher, 2026) Abdalla, Bahaaeldin; Zeb, Hussan; Jarad, Fahd; Oweidi, Khalid Fanoukh Al; Ali, Zeeshan; Abdeljawad, Thabet; Shah, KamalArticle Sequential Langevin Equations Involving a Generalized Type of Caputo Derivatives(Kyungnam University Press, 2026) Fettouch, Houari; Dahmani, Zoubir; Beddani, Hamid; Ibrahim, Rabha Wael; Jarad, FahdArticle More New Results on Integral Inequalities for Generalized K-Fractional Conformable Integral Operators(American Institute of Mathematical Sciences, 2021) Rashid, Saima; Noor, Muhammad Aslam; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-MingArticle Lyapunov Type Inequality in the Frame of Generalized Caputo Derivatives(American Institute of Mathematical Sciences, 2021) Alrabaiah, Hussam; Adjabi, Yassine; Abdeljawad, Thabet; Jarad, Fahd; Mallak, Saed F.Article Interpolation of Exponential-Type Functions on a Uniform Grid by Shifts of a Basis Function(American Institute of Mathematical Sciences, 2021) Sun, Xinping; Kushpel, Alexander; Levesley, Jeremy; Jarad, FahdArticle Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function(MDPI AG, 2019) Rashid, Saima; Noor, Muhammad Aslam; Jarad, Fahd; Kalsoom, Humaira; Chu, Yu-MingArticle Exact Analytical Solutions of Fractional Order Telegraph Equations via Triple Laplace Transform(American Institute of Mathematical Sciences, 2021) Khan, Rahmat Ali; Li, Yongjin; Jarad, FahdArticle Transmission Dynamic and Backward Bifurcation of Middle Eastern Respiratory Syndrome Coronavirus(Vilnius University Press, 2022) Fatima, Bibi; Zaman, Gul; Jarad, Fahd