Results 91 to 100 of about 545,475 (201)
Fuzzy Information and EngineeringThe study explores controllability results for fuzzy fractional differential equations involving the Hilfer–Katugampola fractional derivative, a generalization of the Riemann–Liouville and Hadamard fractional derivatives.
Ramaraj Hariharan +1 more
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Mathematical Modelling and Analysis, 2007 The paper is devoted to the study of the Cauchy‐type problem for the nonlinear differential equation of fractional order 0 < α 0 by where Xp c, 0 (R+) is the subspace of Xp c (R+) of functions g Xp c (R + ) with compact support on infinity: g(x) =
Anatoly Kilbas, Anatoly Titioura
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On Cauchy problems with Caputo Hadamard fractional derivatives
, 2016 Summary: The current work is motivated by the so-called Caputo-type modification of the Hadamard or Caputo Hadamard fractional derivative. The main aim of this paper is to study Cauchy problems for a differential equation with a left Caputo Hadamard fractional derivative in spaces of continuously differentiable functions.
Adjabi, Y. +3 more
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International Journal of Differential Equations, 2019 Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
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Pricing European and Barrier Options in the Fractional Black-Scholes Market [PDF]
The aim of this paper is to obtain the valuation formulas for European and barrier options if the underlying of the option contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5.
Ciprian Necula
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Advances in Difference Equations, 2019 We present some results on the existence, uniqueness and Hyers–Ulam stability to the solution of an implicit coupled system of impulsive fractional differential equations having Hadamard type fractional derivative.
Usman Riaz +4 more
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Solution of Fractional Differential Equations Involving Hilfer-Hadamard Fractional Derivatives
Indian Journal Of Science And TechnologyObjectives: The aim is to establish prerequisite properties for the Hilfer-Hadamard fractional derivatives and address boundary value problems related to fractional polar Laplace and fractional Sturm-Liouville equations involving Hilfer-Hadamard fractional derivatives. Methods: Existing definitions and findings are utilized to obtain the properties for
Lata Chanchlani +3 more
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, 2022 In this paper, we study the existence and uniqueness of solutions for the following fractional boundary value problem, consisting of the Hadamard fractional derivative: HDαx(t)=Af(t,x(t))+∑i=1kCiHIβigi(t,x(t)),t∈(1,e), supplemented ...
Jessada Tariboon +2 more
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Results in Applied MathematicsIn this study, we develop an operational matrix technique to address a set of fractional nonlinear integro-differential equations with the Caputo–Hadamard derivative. We utilize a family of the piecewise Chebyshev cardinal functions as basis functions in
S. Mansoori Aref +2 more
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Inverse initial problem for fractional wave equation with the Hadamard fractional derivative
Kazakh Mathematical JournalThis paper investigates an inverse initial problem for a time-fractional wave equation involving the Hadamard fractional derivative. Unlike the more widely studied Caputo and Riemann–Liouville derivatives, the Hadamard derivative is defined via a logarithmic kernel and exhibits distinct analytical features, making it suitable for modeling processes ...
Zukhridin Alimov, Sebti Kerbal
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