Analysis of the non-linear higher dimensional fractional differential equations arising in dusty plasma using the Atangana–Baleanu fractional derivative by Attiya Nazneen, Rashid Nawaz, Laiq Zada, Nasir Ali, Mohamed Benghanem, Hijaz Ahmad

“…The method has been successfully applied to the higher dimension fractional order Partial differential equations and some fruitful results have been achieved. …”
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Application of Topological Degree Method for Solutions of Coupled Systems of Multipoints Boundary Value Problems of Fractional Order Hybrid Differential Equations by Muhammad Iqbal, Yongjin Li, Kamal Shah, Rahmat Ali Khan

“…We established the theory to coupled systems of multipoints boundary value problems of fractional order hybrid differential equations with nonlinear perturbations of second type involving Caputo fractional derivative. …”
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Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales by Yanning Wang, Jianwen Zhou, Yongkun Li

“…Then, as an application, we present a recent approach via variational methods and critical point theory to obtain the existence of solutions for a p-Laplacian conformable fractional differential equation boundary value problem on time scale T:  Tα(Tαup-2Tα(u))(t)=∇F(σ(t),u(σ(t))), Δ-a.e.  …”
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Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block-Pulse Functions for Solving a System of Fractional Differential Equations by Abdulqawi A. M. Rageh, Adel R. Hadhoud

“…Using these hybrid bases and the operational matrices method, the system of fractional differential equations is reduced to a system of algebraic equations. …”
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Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application by Caixia Guo, Jianmin Guo, Ying Gao, Shugui Kang

“…This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. …”
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Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

Subjects: “…sequential fractional differential equations…”
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On the Existence and Stability of Positive Solutions of Eigenvalue Problems for a Class of P-Laplacian ψ-Caputo Fractional Integro-Differential Equations by Yahia Awad

“…This article introduces a generalized approach for analyzing stability and establishing the existence of positive solutions in a specific type of differential equations known as p-Laplacian ψ-Caputo fractional differential equations with fractional integral boundary conditions. …”
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Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions by Ilhem Nasrallah, Rabiaa Aouafi, Said Kouachi

Subjects: “…fractional differential equation…”
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Relation-Theoretic Contractions Employing a New Pair of Shifting Distance Functions with Applications to Second-Order Ordinary Differential Equations by Faizan Ahmad Khan, Fahad M. Alamrani, Esmail Alshaban, Ebrahem A. Algehyne, Musaad S. Aldhabani

“…We employed our results finding out a unique solution of second-order ordinary differential equations prescribed with specific boundary conditions.…”
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Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method by Yener Altun

“…In this manuscript, we consider the first order neutral Volterra integro-differential equation (NVIDE) with delay argument. Firstly, we obtain novel sufficient conditions to establish the asymptotic behaviours of solutions of considered NVIDE using the Lyapunov method and present an example to demonstrate the applicability of proposed method. …”
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Qualitative results and numerical approximations of the $ (k, \psi) $-Caputo proportional fractional differential equations and applications to blood alcohol levels model by Weerawat Sudsutad, Chatthai Thaiprayoon, Aphirak Aphithana, Jutarat Kongson, Weerapan Sae-dan

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On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions by Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani

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ON THE EQUIVALENCE OF DELAYED ARGUMENTS AND TRANSFER EQUATIONS FOR MODELING DYNAMIC SYSTEMS by V. A. Likhoshvai, T. M. Khlebodarova

Subjects: “…ordinary differential equations…”
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Transcendentality of zeros of higher dereivatives of functions involving Bessel functions by Lee Lorch, Martin E. Muldoon

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Modelling periodic oscillations during somitogenesis by Peng Feng, Menaka Navaratna

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On the interaction between the immune system and an exponentially replicating pathogen by Alberto d'Onofrio

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Bacteriophage-resistant and bacteriophage-sensitive bacteria in a chemostat by Zhun Han, Hal L. Smith

Subjects: “…delay differential equations.…”
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Basic stochastic models for viral infection within a host by Sukhitha W. Vidurupola, Linda J. S. Allen

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A method for analyzing the stability of the resting state for a model ofpacemaker cells surrounded by stable cells by Robert Artebrant, Aslak Tveito, Glenn T. Lines

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Almost periodic solutions for Abel equations by Zeng Weiyao, Shi Jinlin, Lin Zhensheng, Lokenath Debnath

Subjects: “…Abel differential equations…”
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