ORIGINAL_ARTICLE A finite difference method for the smooth solution of linear Volterra integral equations The present paper proposes a fast numerical method for the linear Volterra integral equations withregular and weakly singular kernels having smooth solutions. This method is based on the approx-imation of the kernel, to simplify the integral operator and then discretization of the simpli edoperator using a forward di erence formula. To analyze and verify the accuracy of the method, weexamine sample and benchmark problems with known exact solutions. https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf 2013-06-01 1 10 10.22075/ijnaa.2013.19 Integral equation Linear Integral Equation Weakly Singular Volterra M. Jalalvand m_djalal@iust.ac.ir 1 of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran. AUTHOR B. Jazbi jazbi@iust.ac.ir 2 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran. AUTHOR M. R. Mokhtarzadeh mrmokhtarzadeh@ipm.ir 3 School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition. https://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf 2013-06-01 11 14 10.22075/ijnaa.2013.20 di erentiation operator holomorphic functions weighted spaces upper half-plane M. A. Ardalani m.ardalani@uok.ac.ir 1 Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran. LEAD_AUTHOR
ORIGINAL_ARTICLE Common fixed point theorems for maps under a new contractive condition In this paper xed point and coincidence results are presented for two and three single-valued map-pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi(2008). https://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf 2013-06-01 15 25 10.22075/ijnaa.2013.21 Common fixed point Contractive Mapping weakly compatible Nondecreasing S. Moradi 1 Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. LEAD_AUTHOR E. A. Audeganib 2 Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. AUTHOR D. Alimohammadi 3 Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. AUTHOR
ORIGINAL_ARTICLE Strong differential subordination and superordination of analytic functions associated with Komatu operator Strong di erential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong di erential sandwich-type results arealso obtained. https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf 2013-06-01 26 44 10.22075/ijnaa.2013.22 M. P. Jeyaramana 1 Department of Mathematics, L. N. Government College, Ponneri, Chennai - 601 204, Tamilnadu, India. LEAD_AUTHOR T. K. Suresh 2 Department of Mathematics, Easwari Engineering College, Chennai - 600 089, Tamilnadu, India. AUTHOR E. Keshava Reddy 3 Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur - 515 002, Andhra Pradesh, India. AUTHOR
ORIGINAL_ARTICLE Some new results using integration of arbitrary order In this paper, we present recent results in integral inequality theory. Our results are based on thefractional integration in the sense of Riemann-Liouville https://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf 2013-06-01 45 52 10.22075/ijnaa.2013.29 A. Anber 1 Department of Mathematics, USTO University of Oran, Algeria. AUTHOR Z. Dahmani 2 LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria. LEAD_AUTHOR B. Bendoukha 3 LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria. AUTHOR
ORIGINAL_ARTICLE Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng de ned by the new introduced iterative sequence is proved. The main results improve andcomplement the corresponding results of [1, 4, 10]. https://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf 2013-06-01 53 61 10.22075/ijnaa.2013.30 Accretive operator fixed points Composite iterative schemes Resolvent operator V. Dadashi 1 Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran. LEAD_AUTHOR S. Ghafari 2 Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran. AUTHOR
ORIGINAL_ARTICLE Stochastic differential equations and integrating factor The aim of this paper is the analytical solutions the family of rst-order nonlinear stochastic diff erentialequations. We de ne an integrating factor for the large class of special nonlinear stochasticdi erential equations. With multiply both sides with the integrating factor, we introduce a deterministicdi erential equation. The results showed the accuracy of the present work. https://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf 2013-06-01 62 67 10.22075/ijnaa.2013.31 Stochastic Di fferential Equation Analytical Solution Integrating Factor R. Rezaeyan 1 Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran. LEAD_AUTHOR E Baloui 2 Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran. AUTHOR
ORIGINAL_ARTICLE Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator This paper is concerned with the study of the existence of positive solutions for a Navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. The existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. Our resultsalso yield an estimate on the norms of the solutions indepent of the parameters. https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf 2013-06-01 68 77 10.22075/ijnaa.2013.57 p-biharmonic nonsmooth nonlinearity Critical points M. B. Ghaemi 1 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran LEAD_AUTHOR S. Mir 2 Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran AUTHOR
ORIGINAL_ARTICLE Totally probabilistic Lp spaces In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satis es p  "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces. https://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf 2013-06-01 78 88 10.22075/ijnaa.2013.58 probabilistic normed space probabilistic valued measure probabilistic Lp spaces F. Bahrami 1 Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran. LEAD_AUTHOR M. Mohammadbaghban 2 Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran. AUTHOR
ORIGINAL_ARTICLE A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces In this paper, we prove the Hyers-Ulam stability in$\beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation$f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+\frac{2(k+1)}{k}f(ky)-2(k+1)f(y)$for fixed integers $k$ with $k\neq 0,\pm1.$ https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf 2013-06-01 89 101 10.22075/ijnaa.2013.60 Hyers-Ulam stability AQ functional Equation Fixed point Probabilistic Modular Space S. Zolfaghari 1 - AUTHOR A. Ebadian 2 - AUTHOR S. Ostadbashi 3 - AUTHOR M. De La Sen 4 - AUTHOR M. Eshaghi Gordji 5 LEAD_AUTHOR