Results 31 to 40 of about 1,661 (192)
Journal of Applied Mathematics and Computational Mechanics, 2020 The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense.
A. Khalouta, A. Kadem
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Annals of Mathematics and PhysicsIn the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad +4 more
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Lyapunov-type inequalities for a fractional differential equation with mixed boundary conditions
, 2015 Lyapunov-type inequalities are established for a fractional differential equation under mixed boundary conditions. Using such inequalities, we obtain intervals where certain MittagLeffler functions have no real zeros.
M. Jleli, B. Samet
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Boundary value problems for fractional differential equations
Boundary Value Problems, 2014 In this paper we study the existence of solutions of nonlinear fractional differential equations at resonance. By using the coincidence degree theory, some results on the existence of solutions are obtained. MSC: 34A08, 34B15.
Zhigang Hu, Wenbin Liu, Jiayin Liu
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Multi-term fractional differential equations with nonlocal boundary conditions
Open Mathematics, 2018 We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems.
Ahmad Bashir +3 more
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Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay
Nonautonomous Dynamical Systems, 2021 In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
Norouzi Fatemeh +1 more
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Generalized Fractional Nonlinear Birth Processes [PDF]
, 2015 We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa +2 more
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Asia Pacific Journal of Mathematics. In this study, we utilized the Kamal residual power series method to solve the fractional-order population diffusion equation in the Caputo sense. This method combines the residual power series method with the Kamal transformation integral.
Prapart Pue-on +2 more
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, 2018 In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
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Simpson type quantum integral inequalities for convex functions
, 2018 In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.
Mevlut Tunc, E. Göv, S. Balgecti
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