Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations by Seyyedeh Roodabeh Moosavi Noori, Nasir Taghizadeh

“…International Journal of Differential Equations…”
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Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations by Hassan Eltayeb, Adem Kılıçman

“…We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). …”
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Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications by Maria Gandarias, Mariano Torrisi, Maria Bruzón, Rita Tracinà, Chaudry Masood Khalique

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Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions by J. Caballero, I. Cabrera, K. Sadarangani

“…We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. …”
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The Convergence and MS Stability of Exponential Euler Method for Semilinear Stochastic Differential Equations by Chunmei Shi, Yu Xiao, Chiping Zhang

“…The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. …”
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The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions by Dongxia Zan, Run Xu

“…In this paper, we investigated the system of fractional differential equations with integral boundary conditions. …”
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Iterative methods for solving fractional differential equations using non-polynomial splines by Faraidun K. Hamasalh, Gulnar W. Sadiq, Emad S. Salam

Subjects: “…fractional differential equation…”
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An Implicit Collocation Method for Direct Solution of Fourth Order Ordinary Differential Equations by B. Alechenu, D.O. Oyewola

“… This paper presented a linear multistep method for solving fourth order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the new numerical scheme which is further applied to finding direct solution of fourth order ordinary differentiation equations. …”
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Constructive solution of coupled second order delay differential equations with variable coefficients by R. J. Villanueva, A. Hervas, M. V. Ferrer

“…In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constrcted. …”
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Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations by Gabil M. Amiraliyev, Aysenur Ucar

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Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps by Qiyong Li, Siqing Gan

“…This paper is concerned with the stability of analytical and numerical solutions for nonlinear stochastic delay differential equations (SDDEs) with jumps. A sufficient condition for mean-square exponential stability of the exact solution is derived. …”
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Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations by Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang

“…This paper is concerned with the existence of solutions for Sturm-Liouville boundary value problem of a class of second-order impulsive differential equations, under different assumptions on the nonlinearity and impulsive functions, existence criteria of single and multiple solutions are established. …”
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Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation by Chaozhu Hu, Bin Liu, Songfa Xie

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Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations by Farah Suraya Md Nasrudin, Chang Phang

“…Hence, we transform the Prabhakar fractional differential equations into a system of algebraic equations. …”
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Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation by Axiu Shu, Bo Du

“…Our results are new and complement the related results of third-order functional differential equations.…”
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Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses by Kun-Wen Wen, Gen-Qiang Wang, Sui Sun Cheng

“…Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.…”
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Fourth-order differential equations with neutral delay: Investigation of monotonic and oscillatory features by H. Salah, M. Anis, C. Cesarano, S. S. Askar, A. M. Alshamrani, E. M. Elabbasy

Subjects: “…functional differential equation…”
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Generalized Variational Oscillation Principles for Second-Order Differential Equations with Mixed-Nonlinearities by Jing Shao, Fanwei Meng, Xinqin Pang

“…Using generalized variational principle and Riccati technique, new oscillation criteria are established for forced second-order differential equation with mixed nonlinearities, which improve and generalize some recent papers in the literature.…”
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Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations by H.Thomas Banks, Danielle Robbins, Karyn L. Sutton

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Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms by David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr

“…For a wide class of solutions to multiplicatively advanced differential equations (MADEs), a comprehensive set of relations is established between their Fourier transforms and Jacobi theta functions. …”
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