Results 41 to 50 of about 2,247 (183)
Saigo Fractional q‐Differentiation Operator Involving Generalized q‐Mittag–Leffler Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The purpose of this study is to obtain the images of the generalized q‐analogue of Mittag–Leffler functions under the Saigo fractional q‐differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ. Corresponding assertions in terms of Weyl q‐integral operator, Kober q‐integral operator, and Riemann–Liouville q‐integral operator are ...
Mulugeta Dawud Ali +2 more
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Solution of an extraordinary differential equation by Adomian decomposition method
Journal of Applied Mathematics, Volume 2004, Issue 4, Page 331-338, 2004., 2004 The aim of the present analysis is to apply the Adomian decomposition method for the solution of a fractional differential equation as an alternative method of Laplace transform.
S. Saha Ray, R. K. Bera
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Nonautonomous Dynamical Systems, 2021 In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point
Salim Abdelkrim +4 more
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On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals
, 2017 In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
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A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given. Also, as generalization of the main result, a Simpson’s second type inequality related to the class of Riemann ...
Mohsen Rostamian Delavar +1 more
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New approach to the fractional derivatives
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 315-325, 2003., 2003 We introduce a new approach to the fractional derivatives of the analytical functions using the Taylor series of the functions. In order to calculate the fractional derivatives of f, it is not sufficient to know the Taylor expansion of f, but we should also know the constants of all consecutive integrations of f.
Kostadin Trenčevski
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A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel
Demonstratio Mathematica, 2022 The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization.
Iqbal Azhar, Akram Tayyaba
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Quantum calculus on finite intervals and applications to impulsive difference equations
, 2013 In this paper we initiate the study of quantum calculus on finite intervals. We define the qk-derivative and qk-integral of a function and prove their basic properties.
J. Tariboon, S. Ntouyas
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, 2020 In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash +2 more
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space.
Naqash Sarfraz +4 more
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