Browsing Department of Mathematical Science by Title

Browsing Department of Mathematical Science by Title

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  • Sensitivity analysis of generalized variational inequalities 
    Mukherjee, R.N.; Verma, H.L. (1992-01-01)
    Dafermos studied the sensitivity properties of the solutions of a variational inequality with regard to continuity and differentiability of such solutions with respect to a parameter λ. In the present paper we extend this ...
  • Separation axioms in intuitionistic fuzzy topological spaces 
    Singh, A.K.; Srivastava, R. (2012)
    In this paper we have studied separation axioms T i, i = 0, 1, 2 in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functors B: IF - Top → BF - Top and D: BF - Top → IF - Top ...
  • Set-Valued α -Fractal Functions 
    Pandey, Megha; Som, Tanmoy; Verma, Saurabh (Springer, 2023-05-13)
    In this paper, we introduce the concept of the α -fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such ...
  • Solution of Higher Order Nonlinear Time-Fractional Reaction Diffusion Equation 
    Tripathi, Neeraj Kumar; Das, Subir; Ong, Seng Huat; Jafari, Hossein; Qurashi, Maysaa Al (MDPI AG, 2016-09-08)
    The approximate analytical solution of fractional order, nonlinear, reaction differential equations, namely the nonlinear diffusion equations, with a given initial condition, is obtained by using the homotopy analysis ...
  • Solution of one-dimensional moving boundary problem with periodic boundary conditions by variational iteration method 
    Rajeev, K.N.R.; Das, S. (2009)
    In this paper, the solution of the one dimensional moving boundary problem with periodic boundary conditions is obtained with the help of variational iterational method. By using initial and boundary values, the explicit ...
  • Solution of the nonlinear fractional diffusion equation with absorbent term and external force 
    Das, S.; Vishal, K.; Gupta, P.K. (2011-08)
    The article presents the approximate analytical solutions of general nonlinear diffusion equation with fractional time derivative in the presence of an absorbent term and a linear external force obtained with the help of ...
  • Solution of time-fractional Cahn–Hilliard equation with reaction term using homotopy analysis method 
    Tripathi, N.K.; Das, S.; Ong, S.H.; Jafari, H.; Al Qurashi, M.M. (SAGE Publications Inc., 2017-12-01)
    In this article, the approximate analytical solution of the time-fractional Cahn–Hilliard equation with quadratic form of the source/sink term is obtained using the powerful homotopy analysis method, which permits us to ...
  • Some identities for the partition function 
    Goswami, A; Jha, A K; Singh, A K (Academic Press Inc., 2021-11-25)
    In his unpublished manuscript on the partition and tau functions, Ramanujan obtained several striking congruences for the partition function p(n), the number of unrestricted partitions of n. The most notable of them are ...
  • Some results on mathematical programming with generalized ratio invexity 
    Reddy, L.V.; Mukherjee, R.N. (1999-12-15)
    In this paper, a generalized ratio invexity concept has been applied for single objective fractional programming problems. A concept which has been invoked seems to be more general than the one used earlier by Khan and ...
  • Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix 
    Singh *, Harendra; C.S. Singh, C.S. (Ain Shams University, 2016-03-16)
    In this paper we solve initial and boundary value problem for non-homogeneous fractional order partial differential equations. Here we use operational matrix approach to construct approximate solutions using Legendre ...
  • A Stefan problem with temperature and time dependent thermal conductivity 
    Ajay, Kumar; Singh, Abhishek Kumar; Rajeev (Elsevier B.V, 2020-01)
    In this paper, a one phase Stefan problem with time and temperature dependent thermal conductivity is investigated. With the help of similarity transformation and tau method based on shifted Chebyshev operational matrix ...
  • A Stefan problem with variable thermal coefficients and moving phase change material 
    Abhishek Kumar Singh; Ajay Kumar; Rajeev (Elsevier B.V., 2018-09-13)
    This article describes a one-phase Stefan problem in a semi-infinite domain that involves temperaturedependent thermal coefficients and moving phase change material with a speed in the direction of the positive x-axis. ...
  • Study of a problem of functionally graded hollow disk under different thermoelasticity theories - An analysis of phase-lag effects 
    Kothari, S.; Mukhopadhyay, S. (Elsevier Ltd, 2013-10)
    The present paper is aimed at the investigation of thermo-mechanical interactions inside a functionally graded hollow disk under different thermoelasticity theories in a unified way. The material of the disk is assumed to ...
  • A study of fractional order dual-phase-lag bioheat transfer model 
    Kumar, M.; Rai, K.N.; Rajeev (Elsevier Ltd, 2020-10)
    In this study, we have established a space-time fractional DPL bioheat transfer model in the presence of temperature-dependent metabolic and space-time dependent electromagnetic heat sources. Applying the Legendre wavelet ...
  • Study of fractional order Van der Pol equation 
    Mishra, V.; Das, S.; Jafari, H.; Ong, S.H. (Elsevier, 2015-05-02)
    In this article, Homotopy analysis method is successfully used to find the approximate solution of fractional order Van der Pol equation. The fractional derivative is described in the Caputo sense.The numerical computations ...
  • A study of generalized thermoelastic interactions in an unbounded medium with a spherical cavity 
    Mukhopadhyay, S.; Kumar, R. (Elsevier, 2008-11)
    The aim of the present paper is to study the thermoelastic interactions in an unbounded elastic medium with a spherical cavity in the context of four different theories of thermoelasticity, namely: the classical coupled ...
  • A study of the double edge cracks and a central crack in an orthotropic strip under the tensile loads 
    Singh, Pragya (Institute of Physics Publishing, 2018-12-21)
    In this article, An elastostatic problem with two symmetrically located edge cracks and a centre crack in an orthotropic elastic material under normal loadings is considered. Two harmonic functions are considered which are ...
  • A study on peristaltic flow of micropolar fluids 
    Chandra, Subhash; Pandey, Sanjay Kumar (Institute of Physics Publishing, 2018-12-21)
    In this paper, we presented a mathematical formulation deals with the flow of micro-polar fluid in a circular cylindrical tube of non-uniform cross-sectional area induced by peristaltic waves of increasing amplitude. This ...
  • Super Graphs on Groups, I 
    Arunkumar G.; Cameron, Peter J.; Nath, Rajat Kanti; Selvaganesh, Lavanya (Springer Japan, 2022-06)
    Let G be a finite group. A number of graphs with the vertex set G have been studied, including the power graph, enhanced power graph, and commuting graph. These graphs form a hierarchy under the inclusion of edge sets, and ...
  • SymPy 
    Meurer, Aaron; Smith, Christopher P.; Paprocki, Mateusz; and et al (PeerJ Inc., 2017-01-02)
    SymPy is an open source computer algebra system written in pure Python. It is built with a focus on extensibility and ease of use, through both interactive and programmatic applications. These characteristics have led SymPy ...

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