Analysis of the Physical Behavior of the Periodic Mixed-Convection Flow around a Nonconducting Horizontal Circular Cylinder Embedded in a Porous Medium by Muhammad Ashraf, Zia Ullah, Saqib Zia, Sayer O. Alharbi, Dumitru Baleanu, Ilyas Khan

“…For this purpose, a model in the form of partial differential equations is formulated, and then, the governing equations of the dimensionless model are transformed into the primitive form for integration by using primitive variable formulation. …”
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S-asymptotic expansion of distributions by Bogoljub Stankovic

“…This paper contains first a definition of the asymptotic expansion at infinity of distributions belonging to G′Rn, named S-asymptotic expansion, as also its properties and application to partial differential equations.…”
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Classification of Exact Solutions for Generalized Form of Equation by Hasan Bulut

“…From here, we find some interesting results for nonlinear partial differential equations with generalized evolution.…”
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Surfaces of a Constant Negative Curvature by G. M. Gharib

“…I study the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudospherical surfaces for the nonlinear partial differential equations with constant Gaussian curvature .…”
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On the Carleman classes of vectors of a scalar type spectral operator by Marat V. Markin

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Solutions of type rm for a class of singular equations by Abdullah Altin

“…We obtain all solutions of radial type for a class of singular partial differential equations of even order. The essential operators here are elliptic or ultrahyperbolic.…”
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Nonlinear differential equations and algebraic systems by Lloyd K. Williams

“…The method is variation of parameters with asymptotic series and the theory of partial differential equations.…”
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New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations by Mohamed S. Al-luhaibi

“…Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.…”
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An Lp-Estimate for Weak Solutions of Elliptic Equations by Sara Monsurrò, Maria Transirico

“…We prove an Lp-a priori bound, p>2, for solutions of second order linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains.…”
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New Iterative Method: An Application for Solving Fractional Physical Differential Equations by A. A. Hemeda

“…The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. The analysis is accompanied by numerical examples where this method, in solving them, is used without linearization or small perturbation which con…firm the power, accuracy, and simplicity of the given method compared with some of the other methods.…”
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Fixed Point Theorems of Superlinear Operators with Applications by Shaoyuan Xu, Yan Han

“…The results are applied to nonlinear integral equations and partial differential equations.…”
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A New Type of Distributed Parameter Control Systems: Two-Point Boundary Value Problems for Infinite-Dimensional Dynamical Systems by De-Xing Kong, Fa Wu

“…This survey note describes a new type of distributed parameter control systems—the two-point boundary value problems for infinite-dimensional dynamical systems, particularly, for hyperbolic systems of partial differential equations of second order, some of the discoveries that have been done about it and some unresolved questions.…”
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Degenerate Differential Operators with Parameters by Veli B. Shakhmurov

“…In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for systems of elliptic equations with parameters on cylindrical domain are studied.…”
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Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials by Maryam Salem Alatawi

“…Several summation formulas for these polynomials are explored, and their operational identities are obtained using partial differential equations. The corresponding results for Hermite–Lambda polynomials are also obtained. …”
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Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow by Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed

“…In this paper, we will study the existence of strong solutions for a nonlinear system of partial differential equations arising in convective flow, modeling a phenomenon of mixed convection created by a heated and diving plate in a porous medium saturated with a fluid. …”
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Existence and Continuous Dependence for Fractional Partial Hyperbolic Differential Equations by Qixiang Dong, Guangxian Wu, Lanping Zhu

“…This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. …”
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Substantiation of asymptotical solution of weakly nonlinear hyperbolic system by Aleksandras Krylovas

“… A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. …”
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Controllability of semilinear stochastic delay evolution equations in Hilbert spaces by P. Balasubramaniam, J. P. Dauer

“…An application to stochastic partial differential equations is given.…”
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On the stability of the linear delay differential and difference equations by A. Ashyralyev, P. E. Sobolevskii

“…We consider the initial-value problem for linear delay partial differential equations of the parabolic type. We give a sufficient condition for the stability of the solution of this initial-value problem. …”
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On Eigenvalues of the Generator of a C0-Semigroup Appearing in Queueing Theory by Geni Gupur

“…We describe the point spectrum of the generator of a C0-semigroup associated with the M/M/1 queueing model that is governed by an infinite system of partial differential equations with integral boundary conditions. …”
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