Abstract The Cauchy problem of a time-space fractional partial differential equation which has as particular cases the Klein-Gordon equation, generalized expression heat and two apparently unexplored integro-differential equations in context physics, is proposed solved for delta initial condition. Series H-Fox functions are obtained solution.

This paper studies the Klein-Gordon equation and two modifications in an infinite Cantor set a fractal space-time. Their variational formulations are established discussed, spatio-temporal discontinuity requires both spatio-fractal derivative temporal for practical applications. Some basic properties of local fractional two-scale elucidated, derivation Euler-Lagrange is illustrated.

and Applied Analysis 3 of φj (j = 0, 1, . . . , 5) to zero, we finally end up with a system of algebraic equations, namely,

The linear dielectric response of an assembly of noninteracting linear (needlelike) dipole molecules (each of which is free to rotate in space) is evaluated in the context of fractional dynamics. The infinite hierarchy of differential-recurrence relations for the relaxation functions appropriate to the dielectric response is derived by using the underlying inertial fractional Fokker-Planck (fra...

Corresponding Author: Mohammed Al-Smadi Department of Applied Science, Ajloun College, AlBalqa Applied University, Ajloun 26816, Jordan Email: [email protected] Abstract: This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Red...

We show how the level matching condition in six dimensional, abelian and supersymmetric orbifolds of the E8 × E8 heterotic string can be given equivalently in terms of fractional gauge and gravitational instanton numbers. This relation is used to restate the classification of the orbifolds in terms of flat bundles away from the orbifold singularities under the constraint of the level matching c...

Quartic self–interacting fractional Klein–Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta function regularization technique. Renormalization of these quantities are derived. Conditions for symmetry breaking are obtained analytically. Simulations are carried out to illustrate r...

This paper aims to investigate a new efficient method for solving time fractional partial differential equations. In this orientation, reliable formable transform decomposition has been designed and developed, which is novel combination of the integral method. Basically, certain accurate solutions time-fractional equations have presented. The under concern demands more simple calculations fewer...

The current article discusses the new fuzzy iterative transform method, a hybrid methodology based on logic and an transformation technique. We demonstrate consistency of our technique by employing Caputo derivative under generalized Hukuhara differentiability to construct fractional Klein-Gordon equations with initial condition. series produced result was calculated compared exact result’s rec...