Fractional Klein-Gordon Equation
Analytical solutions for the fractional Klein-Gordon equation
... Abstract In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary condi- tions, contain Dirichlet, ...
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Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein–Gordon Equation ...considered equation with the help of two-dimensional Genocchi polynomials along ...
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First Integral Method: A General Formula for Nonlinear Fractional Klein Gordon Equation Using Advanced Computing Language
... to Equation (9) which can applied to Equation (7) to obtain a first-order ordinary differential ...to Equation (5) is then obtained by solving the equations that are obtained from applying ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... In this paper, an efficient approach is proposed to use the homotopy perturbation Sumudu transform method (HPSTM) to derive the exact solution of various types, which is a combination of the homotopy perturbation method ...
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Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... time fractional derivatives of w x t ( ) , , respectively, and they setisfy 1 < ≤ α 2 , b g , is constants, h x ( ) and k x ( ) is the initial conditions and f x t ( ) , is is the source term and try to show ...
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Numerical analysis for the Klein Gordon equation with mass parameter
... The Klein-Gordon equation with mass parameter m has solutions with complex-valued functions of the time variable t and space variables of ...of fractional derivatives can be found in paper ...
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Nonexistence and existence of nontrivial solutions for Klein–Gordon–Maxwell systems with competing nonlinearities
... In [28], the existence and multiplicity of entire solutions were obtained via variational methods. Recently, in [31] Pucci and Zhang solved the above open problems mentioned in [26] for a class of quasilinear elliptic ...
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Solving the fractional nonlinear Klein Gordon equation by means of the homotopy analysis method
... the fractional KdV-Burgers-Kuramoto equation us- ing ...of fractional or- der using ...solve fractional initial value prob- lems (fIVPs) for ordinary differential ...the fractional ...
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The Extended Gauge Transformations
... Abstract—In this work, new “extended gauge transformations” involving current and fields are presented. The transformation of Maxwell’s equations under these gauges leads to a massive boson field (photon) that is ...
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Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods
... gral dierential equations using the modied Adomian deomposition method, Com-. put[r] ...
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Numerical Solution of the Nonlinear Klein Gordon Equation Using Multiquadric Quasi interpolation Scheme
... MQ quasi-interpolation scheme is constructed directly from linear combination of MQ basis and approximated function. Three univariate MQ quasi-interpolations namely, L A , L B and L C were introduced by Beatson and ...
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Generalized Special Relativistic Quantum Equation &String Mass Quantization
... mechanical equation based on generalized special relativity energy expression is ...new equation reduces to both Klein – Gordon equation and Schrodinger ...
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The Higher Dimensional Universe
... and Klein-Gordon equations get modified— one way this can be done was worked out by the author ...Dirac equation and the Klein-Gordon equation of Special Relativity and finally ...
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Lie Symmetries of Klein Gordon and Schrödinger Equations
... of Klein-Gordon equation and Schrödinger equation by applying the geometric concept of Noether point symmetries for the above defined Lagrangian Equation (1); we organize a strong ...
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Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction
... Dirac equation with scalar and vector potentials with arbitrary spin-orbit coupling quantum number κ including tensor interaction under spin and pspin symmetry ...
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A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
... sine-Gordon equation appears for instance in the study of long Josephson junctions between superconductors when dissipative effects are taken into account ...differential equation with different ...
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Spectral properties of the Klein Gordon s wave equation with spectral parameter dependent boundary condition
... Some problems of the spectral theory of the Klein-Gordon equation have been investigated in [2, 3] with real potential, and in [1] with complex potential subject to the boundary conditio[r] ...
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Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method
... nonlinear Klein-Gordon equation can be recovered from the present model ...four Klein-Gor- don equations with quadratic or cubic nonlinearity are ...
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Bound States of the Klein Gordon for Exponential Type Potentials in D Dimensions
... Our aim is to employ the usual approximation scheme [53,58] in order to solve the D-dimensional radial KG equation for any orbital angular momentum number l for the scalar and vector Eckart-type potentials using a ...
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Lorentz Transformation Properties of Currents for the Particle Antiparticle Pair Wave Functions
... by Equation (10) above was introduced for the first time by Pauli and Weisskopf in 1934 which consists of terms of both ...Dirac equation has explained the fine structure of hydrogen atom along with a host ...
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