Results 21 to 30 of about 1,081 (133)

Investigation of hybrid fractional q-integro-difference equations supplemented with nonlocal q-integral boundary conditions

open access: yesDemonstratio Mathematica, 2023
In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different ...
Alsaedi Ahmed   +3 more
doaj   +1 more source

A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients

open access: yes, 2018
In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
core   +2 more sources

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

open access: yesOpen Mathematics, 2023
In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub   +3 more
doaj   +1 more source

Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]

open access: yes, 2012
MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core  

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav   +4 more
wiley   +1 more source

Monotonicity and oscillation for fractional differential equations with Riemann-Liouville derivatives

open access: yesDemonstratio Mathematica
Monotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the ...
Bartušek Miroslav, Došlá Zuzana
doaj   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

open access: yesDemonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

Optimal random search, fractional dynamics and fractional calculus

open access: yes, 2013
What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem, however, which ...
Chen, YangQuan, Zeng, Caibin
core   +1 more source

Fractional Age‐Structured Modeling of Measles: Application of Inverse Methods

open access: yesComplexity, Volume 2025, Issue 1, 2025.
This study introduces a novel fractional age‐structured Susceptibles‐Exposed‐Infective‐Hospitalized‐Recovered‐Adults (SEIHRA) model, designed to analyze measles transmission dynamics, particularly in younger populations. By incorporating age structure and an innovative inverse method, the model bridges mathematical rigor with empirical data. We examine
Yan Qiao   +4 more
wiley   +1 more source

A Poster about the Old History of Fractional Calculus [PDF]

open access: yes, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
Kiryakova, Virginia   +2 more
core  

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