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Ghulam Farid1,∗, Atiq Ur Rehman1, Sidra Bibi1 and Yu-Ming Chu2,3 1 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan. 2 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China. 3 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China. * Correspondence: ghlmfarid@ciit-attock.edu.pk

Refinements of two fractional versions of Hadamard inequalities for Caputo fractional derivatives and related results