Existence and Compactness Results for a System of Fractional Differential Equations by Cheikh Guendouz, Jamal Eddine Lazreg, Juan J. Nieto, Abdelghani Ouahab

“…The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. …”
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Analytic Solutions of an Iterative Functional Differential Equation near Resonance by Tongbo Liu, Hong Li

“…International Journal of Differential Equations…”
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Least Square Homotopy Perturbation Method for Ordinary Differential Equations by Mubashir Qayyum, Imbsat Oscar

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Partial Differential Equations-Based Segmentation for Radiotherapy Treatment Planning by Frédéric Gibou, Doron Levy, Carlos Cárdenas, Pingyu Liu, Arthur Boyer

“…We develop new image processing techniques that are based on solving a partial differential equation for theevolution of the curve that identifies the segmented organ. …”
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The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type by Hui Liu, Run Xu

“…In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. …”
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Properties of solutions to a second order nonlinear differential equation by Allan J. Kroopnick

“…In this note, we show when all solutions to the nonlinear differential equation x″+c(t)f(x)g(x′)x′+a(t,x)=0 are bounded. …”
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Global Existence for Functional Differential Equations with State-Dependent Delay by Mouffak Benchohra, Imene Medjadj, Juan J. Nieto, P. Prakash

“…Our aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions.…”
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On Stability of Linear Delay Differential Equations under Perron's Condition by J. Diblík, A. Zafer

“…The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. …”
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Advanced Theoretical and Applied Studies of Fractional Differential Equations 2013 by Dumitru Baleanu, Juan J. Trujillo, Bashir Ahmad

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Solving Nonlinear Partial Differential Equations by the sn-ns Method by Alvaro H. Salas

“…We present the application of the sn-ns method to solve nonlinear partial differential equations. We show that the well-known tanh-coth method is a particular case of the sn-ns method.…”
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A comprehensive literature review of fuzzy differential equations with applications by Kamal Hossain Gazi, Aditi Biswas, Payal Singh, Mostafijur Rahaman, Suman Maity, Animesh Mahata, Sankar Prasad Mondal

Subjects: “…fuzzy differential equations…”
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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application by Xiao-Feng Yang, Yi Wei

“…The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE). By applying perturbation method, subsidiary ordinary differential equation (sub-ODE) method, and compatible condition to bilinear equation, more exact solutions of NLPDE are obtained. …”
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An asymptotic result for linear nonhomogeneous mixed type differential equation by Ali Fuat Yeniçerioğlu

Subjects: “…mixed differential equation…”
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Input-to-State Stability of Linear Stochastic Functional Differential Equations by Ramazan Kadiev, Arcady Ponosov

“…The purpose of the paper is to show how asymptotic properties, first of all stochastic Lyapunov stability, of linear stochastic functional differential equations can be studied via the property of solvability of the equation in certain pairs of spaces of stochastic processes, the property which we call input-to-state stability with respect to these spaces. …”
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Controllability of Mild Solution of Nonlocal Conformable Fractional Differential Equations by Mohamed Hannabou, Mohamed Bouaouid, Khalid Hilal

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Symbolic Solution to Complete Ordinary Differential Equations with Constant Coefficients by Juan F. Navarro, Antonio Pérez-Carrió

“…The aim of this paper is to introduce a symbolic technique for the computation of the solution to a complete ordinary differential equation with constant coefficients. The symbolic solution is computed via the variation of parameters method and, thus, constructed over the exponential matrix of the linear system associated with the homogeneous equation. …”
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Oscillation properties of nonlinear neutral differential equations of nth order by T. Candan, R. S. Dahiya

“…We consider the nonlinear neutral functional differential equation [r(t)[x(t)+∫abp(t,μ)x(τ(t,μ))dμ](n−1)]′+δ∫cdq(t,ξ)f(x(σ(t,ξ)))dξ=0 with continuous arguments. …”
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New Stability Conditions for Linear Differential Equations with Several Delays by Leonid Berezansky, Elena Braverman

“…New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation x˙(t)+∑k=1mak(t)x(hk(t))=0 with measurable delays and coefficients. …”
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Implicit Numerical Solutions for Solving Stochastic Differential Equations with Jumps by Ying Du, Changlin Mei

“…To realize the applications of stochastic differential equations with jumps, much attention has recently been paid to the construction of efficient numerical solutions of the equations. …”
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An Application of Fixed Point Theory to a Nonlinear Differential Equation by A. P. Farajzadeh, A. Kaewcharoen, S. Plubtieng

“…By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.…”
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