Results 31 to 40 of about 545,475 (201)
Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series [PDF]
Advances in Difference Equations, 2020 AbstractIn this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar wavelet method.
Rashida Zafar +2 more
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Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy. [PDF]
Entropy (Basel), 2022 Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional ...
Tarasov VE.
europepmc +2 more sources
A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
doaj
Fractal and Fractional, 2022 As a follow-up to the inherent nature of Hadamard-Type Fractional Integro-differential problem, little is known about some asymptotic behaviors of solutions.
Ahmad Mugbil, Nasser-Eddine Tatar
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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
doaj +1 more source
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 caputo-type fractional derivative
, 2020 In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola.
Oliveira, Daniela S +1 more
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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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Fractional Calculus and Special Functions with Applications [PDF]
, 2022 The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications because of their properties of interpolation between integer-order operators.
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