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Three-Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative
Advances in Mathematical Physics, 2020 We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three-point boundary conditions by means of standard tools
Athasit Wongcharoen +3 more
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Blowing-up solutions for time-fractional equations on a bounded domain
Advances in Mechanical Engineering, 2022 This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain.
Abdellatif Boutiara +4 more
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Nonautonomous Dynamical Systems, 2022 The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain.
Mfadel Ali El +3 more
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Open Mathematics, 2021 In this article, we investigate the existence of positive solutions for a class of mm-point fractional differential equations whose nonlinear terms involve derivatives.
Sun Wenchao +3 more
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Numerical Computation of Exponential Functions of Nabla Fractional Calculus
, 2022 In this article, we illustrate the asymptotic behaviour of exponential functions of nabla fractional calculus.
Jonnalagadda, Jagan Mohan
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Open Mathematics, 2021 This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the
Gabeleh Moosa +3 more
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Fractional Sturm-Liouville eigenvalue problems, II [PDF]
, 2017 We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
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Nonlinear Engineering, 2016 Most of the Real systems shows chaotic behavior when they approach complex states. Especially in physical and chemical systems these behaviors define the character of the system. The control of these chaotic behaviors is of very high practical importance
Rajagopal Karthikeyan +1 more
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Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
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All functions are locally $s$-harmonic up to a small error [PDF]
, 2014 We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena +2 more
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