Results 11 to 20 of about 577,075 (200)
On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative [PDF]
Abstract and Applied Analysis, 2012 This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem.
M. D. Qassim, K. M. Furati, N.-E. Tatar
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A Discretization of the Hadamard fractional derivative [PDF]
Mathematical Sciences and Applications E-Notes, 2016 We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a fractional variational problem with dependence on the Hadamard ...
Bastos, Nuno, Almeida, Ricardo
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Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
Journal of Mathematics, 2018 This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar +2 more
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Boundary value problem for Caputo-Hadamard fractional differential equations [PDF]
Surveys in Mathematics and its Applications, 2017 The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain.
Yacine Arioua , Nouredine Benhamidouche
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Fractional Scale Calculus: Hadamard vs. Liouville [PDF]
Fractal and Fractional, 2023 A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced.
Manuel D. Ortigueira, Gary W. Bohannan
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Journal of Inequalities and Applications, 2019 In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions.
Kui Liu, JinRong Wang, Donal O’Regan
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ON A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM INCLUDING A HADAMARD FRACTIONAL DERIVATIVE WITH p-LAPLACIAN [PDF]
Journal of Integral Equations and ApplicationsWe present existence results of the p-Laplacian Hadamard fractional boundary value problem. We analyze the existence of multiple positive solutions for the fractional boundary value problem with the nonlinear term which involves the derivative term with ...
Cerdik, Tugba Senlik
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Axioms, 2023 This paper discusses the problem of the existence and uniqueness of solutions to the boundary value problem for the nonlinear fractional-order pantograph equation, using the fractional derivative of variable order of Hadamard type.
Kadda Maazouz +2 more
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Journal of Taibah University for Science, 2019 In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
D. Vivek, Kamal Shah, K. Kanagarajan
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Mathematics, 2023 The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing a variable order Hadamard fractional derivative. This type of model is appropriate for applications involving processes that occur
John R. Graef +2 more
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