Shahid Bahonar University of KermanJournal of Mahani Mathematical Research Center2251-79529220201001Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for dierentiable functions5567263710.22103/jmmrc.2020.14449.1099ENYaminSayyariDepartment of Mathematics, Sirjan University of Technology, Sirjan, IranHasanBarsamDepartment of mathematics university of jiroftJournal Article20190724In this paper, we give some inequalities for dierentiable convex functions which are<br /> connected with the Hermite-Hadamard's integral inequality holding for convex functions.<br /> Also, we obtain some estimates to the right-hand side of Hermite-Hadamard<br /> inequality for functions whose absolute values of fourth derivatives raised to positive<br /> real powers are m-convex. Finally, some natural applications to special means of real<br /> numbers are given.https://jmmrc.uk.ac.ir/article_2637_567cc46a7755ee31d232fa3433db496e.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research Center2251-79529220201001Fractional q-differintegral operator related to univalent functions with negative coefficients6977263810.22103/jmmrc.2020.13685.1084ENShahramNajafzadehDepartment of Mathematics, Payame Noor University, Tehran, IranJournal Article20190228In this paper, we introduce a new subfamily of univalent functions defined in the<br /> open unit disk involving a fractional q-differintegral operator. Some results on <br /> coefficient estimates, weighted mean, convolution structure and convexity are discussedhttps://jmmrc.uk.ac.ir/article_2638_cae6f92441ba0fc4d983556a3be6ba4c.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research Center2251-79529220201001Some results on Hermite-Hadamard inequalities7986263910.22103/jmmrc.2020.13525.1080ENHasanBarsamDepartment of mathematics university of jiroftAliSattarzadehDepartment of Mathematics, Graduate University of Advanced Technology, Kerman, IranJournal Article20190201In this paper, we establish Hermite-Hadamard inequalities for uniformly p-convex<br /> functions and uniformly q-convex functions. Also, we obtain some new inequalities<br /> of Hermite-Hadamard type for functions whose derivatives in absolute value are the<br /> class of uniformly p-convex.https://jmmrc.uk.ac.ir/article_2639_a9cec843da325abf184f332899dddde0.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research Center2251-79529220201001An efficient numerical approach for solving the variable-order time fractional diffusion equation using chebyshev spectral collocation method87107264010.22103/jmmrc.2020.13904.1090ENMajidDarehmirakiDEPARTMENT OF MATHEMATICS, BEHBAHAN KHATAM ALANBIA
UNIVERSITY OF TECHNOLOGY, BEHBAHAN, KHOUZESTAN, IRANArezouRezazadehDEPARTMENT OF MATHEMATICS, UNIVERSITY OF QOM, QOM
37161466711, IRANJournal Article20190425In this paper we consider the one-dimensional variable-order time fractional diffusion equation where the order is $ q(x,t)in (0,1) $. One type of Caputo fractional derivative is introduced and to get a numerical technique, the time variable is discretized using a<br /> finite difference plan then we use a spectral collocation method to discretize the spatial derivative. In order to show the effectiveness and accuracy of this method, some test problems are considered, and it is shown that the obtained results are in very good agreement with exact solutions.https://jmmrc.uk.ac.ir/article_2640_0a4d830851faf8f3c3c47b944221e32b.pdf