Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order by Veyis Turut, Nuran Güzel

“…First, the fractional differential equation has been solved and converted to power series by Adomian decomposition method (ADM), then power series solution of fractional differential equation was put into multivariate Padé series. …”
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Boundary value problems for second-order partial differential equations with operator coefficients by Eberhard Schock, Kudratillo S. Fayazov

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Lagrangians, Gauge Functions, and Lie Groups for Semigroup of Second-Order Differential Equations by Z. E. Musielak, N. Davachi, M. Rosario-Franco

“…A set of linear second-order differential equations is converted into a semigroup, whose algebraic structure is used to generate novel equations. …”
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Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations by Chunyan He, Yongzhi Liao, Yongkun Li

“…We investigate the existence and multiplicity of solutions to a boundary value problem for impulsive differential equations. By using critical point theory, some criteria are obtained to guarantee that the impulsive problem has at least one solution, at least two solutions, and infinitely many solutions. …”
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Fundamental Results about the Fractional Integro-Differential Equation Described with Caputo Derivative by Ndolane Sene

“…We have established in this paper the Hyers-Ulam stability of the mild solution of the considered fractional integro-differential equation. An illustrative example has been provided to support the main findings of the paper.…”
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The Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for CFR Fractional Differential Equations by Xia Wang, Run Xu

“…In this paper, we research CFR fractional differential equations with the derivative of order 3<α<4. …”
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Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian by Honghui Yin, Bo Du, Qing Yang, Feng Duan

“…The efficient conditions guaranteeing the existence of homoclinic solutions to second-order singular differential equation with p-Laplacian ϕpx′t′+fx′t+gxt+ht/1−xt=et are established in the paper. …”
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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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Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching by Hua Yang, Feng Jiang

“…In this paper, we study the Euler-Maruyama (EM) method for neutral stochastic functional differential equations with Markovian switching. The main aim is to show that the numerical solutions will converge to the true solutions. …”
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An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative by H. R. Marasi, A. Soltani Joujehi, H. Aydi

“…In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative. …”
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Parameter Estimation for Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion by Na Song, Zaiming Liu

“…We study the asymptotic properties of minimum distance estimator of drift parameter for a class of nonlinear scalar stochastic differential equations driven by mixed fractional Brownian motion. …”
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Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations by Hongyu Qin, Zhiyong Wang, Fumin Zhu, Jinming Wen

“…International Journal of Differential Equations…”
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Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators by K. Zhukovsky

“…We develop the methodology of inverse and exponential operators, employing them for the study of partial differential equations. Advantages of the operational technique, combined with the use of integral transforms, generating functions with exponentials and their integrals, for solving a wide class of partial derivative equations, related to heat, wave, and transport problems, are demonstrated.…”
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Positive periodic solutions of nonautonomous functional differential equations depending on a parameter by Guang Zhang, Sui Sun Cheng

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Comparative Study on Numerical Methods for Singularly Perturbed Advanced-Delay Differential Equations by P. Hammachukiattikul, E. Sekar, A. Tamilselvan, R. Vadivel, N. Gunasekaran, Praveen Agarwal

“…In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh. …”
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Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations by G. H. Erjaee, M. Alnasr

“…We illustrate numerical phase synchronization results and stability analysis for some coupled Sprott chaotic systems presented by fractional differential equations.…”
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Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation by Osama Moaaz, Emad E. Mahmoud, Wedad R. Alharbi

“…This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. …”
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Periodicity, Stability, and Boundedness of Solutions to Certain Second Order Delay Differential Equations by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…International Journal of Differential Equations…”
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Study of Nonlocal Boundary Value Problem for the Fredholm–Volterra Integro-Differential Equation by K. R. Raslan, Khalid K. Ali, Reda Gamal Ahmed, Hind K. Al-Jeaid, Amira Abd-Elall Ibrahim

“…In this paper, the existence and uniqueness of the Fredholm–Volterra integro-differential equation with the nonlocal condition will be studied. …”
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Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations by Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. …”
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