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 with regular and weakly singular kernels having smooth solutions. This method is based on the approximation of the kernel, to simplify the integral operator and then discretization of the simplified operator using a forward difference formula. To analyze and verify the accuracy of the method, we examine 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 sufficient condition for boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane whenever our weights are standard analytic 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 differentiation 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 fixed point and coincidence results are presented for two and three single-valued mappings. 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 differential subordination and superordination properties are determined for some families analytic functions in the open unit disk which are associated with the Komatu operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained. https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf 2013-06-01 26 44 10.22075/ijnaa.2013.22 Strong Differential Subordination Strong Differential Superordination Analytic functions Admissible Functions Hadamard product 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 the fractional 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 Integral inequality Riemann-Liouville integral operator 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 conditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence $\{x_n\}$ defined by the new introduced iterative sequence is proved. The main results improve and complement 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 first-order nonlinear stochastic differential equations. We define an integrating factor for the large class of special nonlinear stochastic differential equations. With multiply both sides with the integrating factor, we introduce a deterministic differential 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 differential 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 boundary value problem involving the p-biharmonic operator; the right hand side of problem is a nonsmooth functional with variable parameters. The existence of at least three positive solutions is established by using nonsmooth version of a three critical points theorem for discontinuous functions. Our results also 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 $L^p$ spaces In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding $L^p$ spaces, for distributions $p > \varepsilon_0$. It is also shown that if the distribution $p$ satisfies $p > \varepsilon_1$ then, as in the classical case, these spaces are complete probabilistic 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 $L^p$ 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 Department of Mathematics, Urmia University, Urmia, Iran AUTHOR A. Ebadian 2 Department of Mathematics, Urmia University, Urmia, Iran AUTHOR S. Ostadbashi 3 Department of Mathematics, Urmia University, Urmia, Iran AUTHOR M. De La Sen 4 Institute of Research and Development of Processes University of Basque Country Campus of Leioa (Bizkaia) - Aptdo. 644- Bilbao, 48080- Bilbao, Spain AUTHOR M. Eshaghi Gordji 5 Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran LEAD_AUTHOR