### American Journal of Applied Mathematics

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## Volume 3, Issue 3, June 2015

• Integral Inequalities for Some New Classes of Convex Functions

Issue: Volume 3, Issue 3-1, June 2015
Pages: 1-5
Accepted: 21 March 2015
Published: 9 June 2015
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Abstract: In this paper, we introduce a new class of convex functions, which is called nonconvex functions. We show that this class unifies several previously known and new classes of convex functions. We derive several new inequalities of Hermite-Hadamard type for nonconvex functions. Some special cases are also discussed. Results proved in this paper conti... Show More
• General Solution for Free Convection of Viscous Fluid Near an Infinite Isothermal Vertical Plate that Applies a Shear Stress to the Rotating Fluid

M. A. Imran, Shakila Sarwar, D. Vieru, M. Nazar

Issue: Volume 3, Issue 3-1, June 2015
Pages: 6-13
Accepted: 20 May 2015
Published: 9 June 2015
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Abstract: An analysis is carried out to the unsteady free convection flow of a rotating, incompressible viscous fluid near an infinite vertical plate that applies a time-dependent shear stress f(t) to the fluid. General solutions of the dimensionless governing equations along with imposed initial and boundary conditions are determined using Laplace transform... Show More
• Odd Graceful Labeling of Acyclic Graphs

Ayesha Riasat, Sana Javed

Issue: Volume 3, Issue 3-1, June 2015
Pages: 14-18
Accepted: 30 May 2015
Published: 10 June 2015
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Abstract: Let G = (V, E) be a finite, simple and undirected graph. A graph G with q edges is said to be odd-graceful if there is an injection f : V (G)  {0, 1, 2, . . . , 2q 1} such that, when each edge xy is assigned the label |f (x) f (y)| , the resulting edge labels are {1, 3, 5, . . . , 2q 1} and f is called an odd graceful labeling of G. Motivated b... Show More
• Positive Solutions of a Singular System with Two Point Coupled Boundary Conditions

Issue: Volume 3, Issue 3-1, June 2015
Pages: 19-24
Accepted: 1 June 2015
Published: 15 June 2015
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Abstract: In this paper, we study the existence of positive solutions to a system of nonlinear differential equations subject to two-point coupled boundary conditions. Further, the nonlinearities are allowed to be singular with respect to first order derivatives. An example is included to show the applicability of our result.
• Taylor-Couette Flow of an Oldroyd-B Fluid in an Annulus Subject to a Time-dependent Rotation

M. Imran, Madeeha Tahir, M. A. Imran, A. U. Awan

Issue: Volume 3, Issue 3-1, June 2015
Pages: 25-31
Accepted: 1 June 2015
Published: 15 June 2015
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Abstract: In this paper the velocity field and the adequate shear stress corresponding to the rotational flow of an Oldroyd-B fluid, between two infinite coaxial circular cylinders, are determined by applying the finite Hankel transforms. The motion is produced by the inner cylinder that, at time t = 0+, is subject to a time-dependent rotational shear stress... Show More
• On Vibration of Three-Layered Cylindrical Shell with Functionally Graded Middle Layer

Zermina Gull Bhutta, M. N. Naeem, M. Imran

Issue: Volume 3, Issue 3-1, June 2015
Pages: 32-40
Accepted: 1 June 2015
Published: 15 June 2015
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Abstract: In the current analysis vibration characteristics of a cylindrical shell composed of three layers are examined. Vibration of cylindrical shells is accomplished for their involvement in various areas of engineering and technology. Shell vibration behavior depends upon on different geometrical material parameters and material parameters. They provide... Show More
• Fixed Point Theorems for Multivalued Contractive Mappings in Fuzzy Metric Spaces

Basit Ali, Mujahid Abbas

Issue: Volume 3, Issue 3-1, June 2015
Pages: 41-45
Accepted: 1 June 2015
Published: 15 June 2015
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Abstract: In this paper, we introduce multivalued contractive mappings of Feng-Liu type in complete fuzzy metric spaces. We prove fixed point theorems for such mappings in the context of fuzzy metric spaces. We provide with an example to show that our results are more general than previously obtained results in the literature.
• Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets

Mohammad S. R. Chowdhury, Yeol Je Cho

Issue: Volume 3, Issue 3-1, June 2015
Pages: 46-53
Accepted: 9 April 2015
Published: 17 June 2015
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Abstract: In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on non-compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pse... Show More
• Existence of Solutions to a Second Order Coupled System with Nonlinear Coupled Boundary Conditions