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Multivalent Harmonic Functions defined by m-tuple Integral operators

100%

Sharma P.

Commentationes Mathematicae

2010

tom 50

nr 1

In this paper a multivalent harmonic function is defined by m-tuple integral operators and some classes of these multivalent harmonic functions are studied in terms of inequalities involving Wright generalized hypergeometric functions. Some special cases of our results are also mentioned.

Modelling of Piezothermoelastic Beam with Fractional Order Derivative

63%

Kumar R., Sharma P.

Curved and Layered Structures

2016

tom 3

nr 1

This paper deals with the study of transverse vibrations in piezothermoelastic beam resonators with fractional order derivative. The fractional order theory of thermoelasticity developed by Sherief et al. [1] has been used to study the problem. The expressions for frequency shift and damping factor are derived for a thermo micro-electromechanical (MEM) and thermo nano-electromechanical (NEM) beam resonators clamped on one side and free on another. The effect of fractional order derivative on the derived expressions is observed analytically and shown graphically in the case of Lead Zirconate Titanate (PZT)-5A material. For α = 1, our results agree with those that are obtained by Grover and Sharma [20] and other particular cases of interest are also discussed.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Curved and Layered Structures

2 Sharma P.

1 Kumar R.

1 2016

1 2010

Wyniki wyszukiwania

Multivalent Harmonic Functions defined by m-tuple Integral operators

Modelling of Piezothermoelastic Beam with Fractional Order Derivative