Results 21 to 30 of about 486 (149)
Demonstratio Mathematica, 2023 In this article, we discuss the existence of a unique solution to a ψ\psi -Hilfer fractional differential equation involving the pp-Laplacian operator subject to nonlocal ψ\psi -Riemann-Liouville fractional integral boundary conditions.
Alsaedi Ahmed +3 more
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Boundary Value Problems, 2012 In this article, the author investigates the existence and multiplicity of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator D0+βφpD0+αu(t)+f(t,u(t))=0 ...
G. Chai
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Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability
Open Mathematics, 2020 In this article, we discuss the nonlinear boundary value problems involving both left Riemann-Liouville and right Caputo-type fractional derivatives. By using some new techniques and properties of the Mittag-Leffler functions, we introduce a formula of ...
Wang Huiwen, Li Fang
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Nonautonomous Dynamical Systems, 2022 In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales.
Kumar Vipin, Malik Muslim
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Quantum integral inequalities on finite intervals
, 2014 In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski, Cauchy-Bunyakovsky-Schwarz, Grüss, and Grüss-Čebyšev integral inequalities ...
J. Tariboon, S. Ntouyas
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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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On the Elzaki transform and its applications in fractional free electron laser equation
Acta Universitatis Sapientiae: Mathematica, 2019 This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative.
Singh Yudhveer +3 more
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Demonstratio Mathematica, 2023 In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
Alzabut Jehad +2 more
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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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