This method is powerful, efficient, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics.
Establishing, new criteria for elimination of solutions of ( E i ) satisfying ( P i ), i = 1, 2, we immediately obtain sufficient conditions for property (A) of (E).
Within the gaming space, despite being attributed with a "looter" identity and had his privilege to certain symbolic resources removed, Danny moved on to engage in quest solutions and in establishing new synergies with other players in leveling up.
By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems.
For the next 18 months, local authorities will deal with waste management at a local level, a solution that will include building treatment plants and establishing new landfills.
Several institutions are establishing new benefits policies.
We're establishing new sets.
In this section, we establish new oscillation criteria for solutions of equation (1.1).
In the following theorem, by using the results of Dzurina [3], we will establish new oscillation criteria for solutions of equation (1.1) under the conditions int_{tau_{0}}^{infty}frac{s^{2}}{r^{1/alpha} ( s ) },ds=infty quadtext{and}quad int_{tau_{0}}^{infty}R_{2} ( s ),ds=infty.
To help unravel this environmental puzzle, the EPA has awarded a five-year, $10 million grant to establish a new Solutions for Energy, Air, Climate and Health Center, based at Yale and co-led by Johns Hopkins.
