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On Spherically Symmetric Solutions of the Einstein-Maxwell Field Equations
In literature many solution of Einstein-Maxwell’s equations have been found. We consider the spherically symmetric geometry and classify the solutions of Einstein-Maxwell’s equations by considering the null/non-null electromagnetic field and isotropic/anisotropic matter with the help of Segre ...
Automorphism groups of Cayley graphs of order pq2 where p =/= q are prime numbers
In this paper, we determine when two Cayley graphs over the cyclic group Zpq2 are to be isomorphic, for p 6= q prime numbers. and we determine the all types of automorphism groups of these graphs.
Exact Solution of a Nonlinear Time-Caputo Fabrizio Fractional Dispersive Equation
In this paper, the invariant subspace method is used to solve the nonlinear fifth order dispersive equation involving time-Caputo Fabrizio fractional derivative. A non trivial exact solution of this nonlinear fractional partial differential equation is obtained and it is employed to demonstrate the memory ...
New modification Sentinel for Linear Parabolic Equation
The purpose of this article is, firstly, to modify the old definition of the sentinel, introduced by J.L. Lions, so that we can separate the control support to the observation support and, secondly, to identify the pollution terms which arise in regular problems which are modeled by a linear parabolic ...
A Model of Oral and Parenteral Drug Administration with Control
Drug administration is largely a frontier in pharmacokinetics and pharmacodynamics. Kinetics and dynamics are of science in general, and therefore issues on drug administration may be of interdisciplinary interest. This paper treated pharmacokinetics from the standpoints of a subject-specific drug administration ...
An Oscillation Criterion in Delay Differential Equations
Consider the first order linear delay differential equation x0(t) + p(t)x(τ(t)) = 0, t ≥ t0, where p is a continuous function of nonnegative real numbers and the argument τ(t) is not necessarily monotone. Based on an iterative technique, a new oscillation criterion is established when the well-known ...
Existence and Uniqueness of a Fuzzy Solution for some Fuzzy Neutral Partial integro-Differential Equation with Nonlocal Conditions
In this work, we establish several results about the existence of fuzzy solutions for some Fuzzy Neutral partial integro-Differential Equation with nonlocal condition. Our approach rest on the Banach fixed-point theorem.
Normal Subgroups and Quotient Groups in β-α-topological Group
In this paper, we studied the subgroup in β-α-topological group and several basic theorems are introduced. From normal subgroups, the study naturally follows to quotient groups, which are decomposition spaces topologically. The quotient group space of β-α-topological groups defined ...
Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations
The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional differential equations(FDEs). The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a ...
On the Study of Nonlinear Fractional Differential Equations on Unbounded Interval
By the means of the variation of constants formula and some analytical skills, we use Banach contraction principle to investigate in this paper an uniqueness and existence of unbounded solution for nonlinear differential equations of fractional orders in weighted Banach space. At last, we present an illustrative ...