###### Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

, the Haar wavelets method [ 3 ], Legendre wavelets method [ 4 ], Rationalized haar wavelet [ 5 ], Hermite cubic splines [ 6 ], Coifman wavelet scaling functions [ 7 ], CAS wavelets [ 8 ], Bernoulli wavelets [ 9 ], wavelet preconditioned techniques [ 25 , 26 , 27 , 28 ]. Some of the papers are found for solving Abel′s integral equations using the wavelet based methods, such as Legendre wavelets [ 10 ] and Chebyshev wavelets [ 11 ]. Abel′s integral equations have applications in various fields of science and engineering. Such as microscopy, seismology

###### New Exact Solutions for Generalized (3+1) Shallow Water-Like (SWL) Equation

720 728 [25] Bulut, H., Yel, G. and Baskonus, H.M. 2016. An Application Of Improved Bernoulli Sub-Equation Function Method To The Nonlinear Time-Fractional Burgers Equation, Turkish Journal of Mathematics and Computer Science, 5, 1-17. Bulut H. Yel G. Baskonus H.M. 2016 An Application Of Improved Bernoulli Sub-Equation Function Method To The Nonlinear Time-Fractional Burgers Equation Turkish Journal of Mathematics and Computer Science 5 1 17 [26] Dusunceli, F. 2018. "Solutions for the Drinfeld-Sokolov Equation Using an IBSEFM Method" MSU Journal Of Science. 6

###### Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems

Newton–Raphson method for nonlinear equations by modified Adomian decomposition method Applied Mathematics and Computation 145 887 893 10.1016/s0096-3003(03)00282-0 [22] S.S. Ganji, D.D. Ganji, A.G. Davodi, S. Karimpour, (2009), Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using max–min approach , Applied Mathematical Modelling 34 2676-2684. 10.1016/j.apm.2009.12.002 Ganji S.S. Ganji D.D. Davodi A.G. Karimpour S. 2009 Analytical solution to nonlinear oscillation system of the motion of a rigid rod rocking back using

###### Dynamics of the Modified n-Degree Lorenz System

.V., 1993. Circuit implementation of synchronized chaos with applications to communications. Physical review letters , 71(1), p.65. Cuomo K.M. Oppenheim A.V. 1993 Circuit implementation of synchronized chaos with applications to communications Physical review letters 71 1 65 [4] Lü, J. and Chen, G., 2002. A new chaotic attractor coined. International Journal of Bifurcation and chaos , 12(03), pp.659-661. Lü J. Chen G. 2002 A new chaotic attractor coined International Journal of Bifurcation and chaos 12 03 659 661 [5] Pehlivan, I. and Uyaroğlu, Y., 2010. A new

###### Shapley-Folkman-Lyapunov theorem and Asymmetric First price auctions

interval ( a , b ), then this function is concave on ( a , b ) if: ∀ x ∈ ( a , b ), f ″( x ) < 0. Or a C 2 function: g : A → R n on the open and convex set A ⊂ R n is concave if and only if ∂ 2 f ( x ) < 0 and is semidefinite for all x , then f is strictly concave. In the literature of this king very important term is marginal cost pricing equilibrium which is a family of consumption, production plans, lump sum taxes and prices such that such that households are maiming their utility subject to their budget constraints and firms production plans

###### Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation

, 3). For example, the 3D and 2D plots of the bell-shaped solitary wave solution (41) are displayed in Figure 1 with ε = 1, k 1 = 1, k 2 = 1.2, k 3 = 2.2, c 2 = 1.5, δ = 2.5 when α = 0.95. Figure 2 shows the 3D and 2D plots of the kink-shaped solitary wave solution (45) for ε = −1, k 1 = 0.2, k 2 = 1.5, k 3 = 0.25, c 2 = 0.5, δ = −1.2 when α = 0.9. In Figure 3 , the 3D and 2D plots of the singular soliton solution (50) are depicted for ε = 1, k 1 = 0.5, k 2 = 1.5, k 3 = 0.3, c 2 = 1.3, δ = −1 when α = 0

###### New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

methods for finding the solutions of various NEEs have been proposed and/or improved by many scholars [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 , 71 ]. The aim of this paper was to apply the sine-Gordon expansion

###### Dimensionless characterization of the non-linear soil consolidation problem of Davis and Raymond. Extended models and universal curves

.783 0.4941 0.4328 0.967 2.0 0.847 03 0.02 0.25 0.1125 30000 1 60000 1.566 0.4941 0.4328 0.967 2.0 0.847 04 0.04 1.5 0.45 60000 2 120000 3.133 0.4941 0.4328 0.967 2.0 0.847 05 0.03 1 0.3 25000 1.5 50000 1.175 0.926 0.811 0.967 2.0 0.847 06 0.02 1.5 0.45 30000 1 120000 0.783 0.5501 0.4328 1.077 4.0 0.847 07 0.02 1.5 0.45 30000 2 120000 0.783 2.2004 1.7312 1.077 4.0 0.847 08 0.02 1.5 0.45 30000 1

###### Influence of seasonal factors in the earned value of construction

calendars bring to light in those countries where laws protect the right of holiday choice. In these cases, the calendar factor is no longer deterministic. On the other hand, other authors (e.g., Tucker & Rahilly, 1982 [ 19 ]; Koehn & Brown, 1985 [ 14 ]; Chan & Kumaraswamy, 1995 [ 6 ]; El-Rayes & Mosehli 2001 [ 9 ];Wiliams, 2008 [ 21 ]; Odabasi, 2009 [ 15 ]) have explored the climatic factor giving rise to some predictive models with varying success. Nevertheless, we have not found any studies measuring the influence of all the seasonal factors in the construction

###### New Complex and Hyperbolic Forms for Ablowitz–Kaup–Newell–Segur Wave Equation with Fourth Order

{array}{} \displaystyle 4{u_{{\rm{xt}}}} + {u_{{\rm{xxxt}}}} + 8{u_x}{u_{{\rm{xy}}}} + 4{u_{{\rm{xx}}}}{u_y} - {\rm{\gamma }}{{\rm{u}}_{{\rm{xx}}}} = 0, \end{array}$$ (1) where γ is a real constant with a non-zero value, by using the sine-Gordon expansion method (SGEM). 2 Fundamental Properties of the SGEM Let us consider the following sine-Gordon equation [ 24 , 25 , 26 ]: u x x − u t t = m 2 sin u , $$\begin{array}{} \displaystyle {u_{xx}} - {u_{tt}} = {m^2}\sin \left( u \right), \end{array}$$ (2) where u = u ( x , t ) and m is a real constant. When we