A Novel and Efficient Iterative Approach to Approximating Solutions of Fractional Differential Equations by Doaa Filali, Nidal H. E. Eljaneid, Adel Alatawi, Esmail Alshaban, Montaser Saudi Ali, Faizan Ahmad Khan

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Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse by Zhenguo Luo, Liping Luo, Yunhui Zeng

“…By using a fixed point theorem of strict-set-contraction, which is different from Gaines and Mawhin's continuation theorem and abstract continuation theory for k-set contraction, we established some new criteria for the existence of positive periodic solution of the following generalized neutral delay functional differential equation with impulse: x'(t)=x(t)[a(t)-f(t,x(t),x(t-τ1(t,x(t))),…,x(t-τn(t,x(t))),x'(t-γ1(t,x(t))),…,x'(t-γm(t,x(t))))],  t≠tk,  k∈Z+;  x(tk+)=x(tk-)+θk(x(tk)),  k∈Z+. …”
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Relative Nonlinear Measure Method to Exponential Stability of Impulsive Delayed Differential Equations by Xueli Song, Xing Xin, Huiya Dai, Jigen Peng

“…This paper is devoted to providing a novel method to global exponential stability of impulsive delayed differential equations. By utilizing relative nonlinear measure method, several global exponential stability criteria are presented for the impulsive delayed differential equations. …”
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Nonlinear Neutral Delay Differential Equations: Novel Criteria for Oscillation and Asymptotic Behavior by Belal Batiha, Nawa Alshammari, Faten Aldosari, Fahd Masood, Omar Bazighifan

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Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping by Ambarka Abdalla Salhin, Ummul Khair Salma Din, Rokiah Rozita Ahmad, Mohd Salmi Md Noorani

“…By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. These results extend, improve, and unify some known oscillation criteria in the existing literature.…”
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Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference by Muhammed Çiçek, Coşkun Yakar, Bülent Oğur

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On the Oscillation Criteria for Fourth-Order p-Laplacian Differential Equations with Middle Term by Dandan Yang, Chuanzhi Bai

“…In this paper, we study the oscillatory properties of the solutions of a class of fourth-order p-Laplacian differential equations with middle term. The new oscillation criteria obtained by using the theory of comparison with first- and second-order differential equations and a refinement of the Riccati transformations. …”
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Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations by Abdellatif Ben Makhlouf, Djalal Boucenna, A.M. Nagy, Lassaad Mchiri

“…Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations.…”
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Qualitative Behaviors of Functional Differential Equations of Third Order with Multiple Deviating Arguments by Cemil Tunç

“…This paper considers nonautonomous functional differential equations of the third order with multiple constant deviating arguments. …”
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Properties of the solution of some multipoint problems for integro-differential equation of Barbashin type by Nurmuhammet Gurbanmammedov, Parahat Gurbanmammedov, Ogulhan Haydarova

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The decomposition method for linear, one-dimensional, time-dependent partial differential equations by D. Lesnic

“…The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. …”
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The Fixed Point Theory and the Existence of the Periodic Solution on a Nonlinear Differential Equation by Ni Hua

“…This paper deals with a nonlinear differential equation, by using the fixed point theory. The existence of the periodic solution of the nonlinear differential equation is obtained; these results are new.…”
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Results on non local impulsive implicit Caputo-Hadamard fractional differential equations by K. Venkatachalam, M. Sathish Kumar, P. Jayakumar

Subjects: “…fractional differential equation…”
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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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