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Title: Equation of motion using fractional calculus

Miscellaneous ·
OSTI ID:5558142

One-dimensional motion of a particle was studied using fractional calculus, which is the differentiation and the integration of arbitrary order. By fractional differentiation, equation of motion could be written in compact form. Fractional parameters were numerically calculated by using the known solutions of general relativistic free fall motion. Also, from the approximate forms for fractional parameters, the physical meanings were found. The fractional parameters depended on the proper time, the mass of gravitating body, and the initial radial coordinate of the particle.

Research Organization:
Texas Tech Univ., Lubbock, TX (United States)
OSTI ID:
5558142
Resource Relation:
Other Information: Thesis (Ph.D.)
Country of Publication:
United States
Language:
English

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GENERAL RELATIVITY THEORY
EQUATIONS OF MOTION
CALCULATION METHODS
COORDINATES
DIFFERENTIAL CALCULUS
GRAVITATIONAL FIELDS
INTEGRAL CALCULUS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
661310* - Relativity & Gravitation- (1992-)