Existence and forms of entire solutions to system of non-linear partial differential equations by Abhijit Banerjee, Jhuma Sarkar

“…Electronic Journal of Differential Equations…”
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Approximation Technique for Solving Linear Volterra Integro-Differential Equations with Boundary Conditions by Mohamed E. A. Alnair, Ahmed A. Khidir

“…This paper presents a new technique for solving linear Volterra integro-differential equations with boundary conditions. The method is based on the blending of the Chebyshev spectral methods. …”
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Self-adaptive physics-informed quantum machine learning for solving differential equations by Abhishek Setty, Rasul Abdusalamov, Felix Motzoi

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On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations by Maged Alkilayh

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Solution of Extraordinary Differential Equations with Physical Reasoning by Obtaining Modal Reaction Series by Shantanu Das

“…Mathematical modeling of many engineering and physics problem leads to extraordinary differential equations like Nonlinear, Delayed, and Fractional Order. …”
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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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The Euler approximation of stochastic differential equations driven by a fractional Brownian motion by Kęstutis Kubilius

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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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Extension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators by Abdon Atangana, Seda Igret Araz

“…This research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels. …”
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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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Blockchain address risk behavior identification algorithm based on neural differential equations by LIANG Fei, WANG Ruili

Subjects: “…neural differential equation…”
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