Results 51 to 60 of about 1,241 (197)

Correlated fractional counting processes on a finite time interval [PDF]

, 2014
We present some correlated fractional counting processes on a finite time interval. This will be done by considering a slight generalization of the processes in Borges et al. (2012).
Beghin, Luisa, Garra, Roberto, Macci, Claudio   +2 more
core   +1 more source

Numerical Investigation of Fractional Third‐Order Differential Equation Using Quartic B‐Spline Functions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Fractional calculus (FC) has become more popular during the past four decades due to its extensive applications in mathematics, physics, engineering, and statistics. B‐spline functions offer flexible and incredibly precise approximations because of their piecewise polynomial structure and smoothness at knots.
Syeda Alishba Batool, Muhammad Abbas, Madiha Shafiq, Y. S. Hamed, Asnake Birhanu, Ivan Giorgio   +5 more
wiley   +1 more source

Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Journal of Function Spaces, 2021
We investigate a nonlinear system of pantograph-type fractional differential equations (FDEs) via Caputo-Hadamard derivative (CHD). We establish the conditions for existence theory and Ulam-Hyers-type stability for the underlying boundary value system ...
Zareen A. Khan, Israr Ahmad, Kamal Shah
doaj   +1 more source

Mellin Transforms of the Generalized Fractional Integrals and Derivatives

, 2014
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives.
Bucchianico, Butkovskii, Butzer, Butzer, Butzer, Butzer, Bóna, Erdélyi, Erdélyi, Flajolet, Gaboury, Goldman, Hadamard, Herrmann, Katugampola, Katugampola, Kilbas, Kilbas, Kilbas, Kilbas, Kiryakova, Machado, Miller, Noor, Noor, Noor, Odzijewicz, Odzijewicz, Odzijewicz, Oldham, Podlubny, Pooseh, Robbins, Robinson, Rodrigues, Roman, Roman, Roman, Rota, Rota, Samko, Udita N. Katugampola, Yakubovich   +42 more
core   +1 more source

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 more
wiley   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Jagan Mohan Jonnalagadda   +4 more
wiley   +1 more source

Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects

Electronic Journal of Differential Equations, 2016
Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear fractional differential equations (LFDEs) with two variable coefficients involving Caputo fractional derivative, Riemann-Liouville derivative, Caputo type Hadamard ...
Yuji Liu
doaj  

Perturbed functional fractional differential equation of Caputo-Hadamard order [PDF]

Mathematica Moravica
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative.
Hamani Samira
doaj   +1 more source

Existence Results for the Solution of the Hybrid Caputo–Hadamard Fractional Differential Problems Using Dhage’s Approach

Fractal and Fractional, 2021
In this work, we explore the existence results for the hybrid Caputo–Hadamard fractional boundary value problem (CH-FBVP). The inclusion version of the proposed BVP with a three-point hybrid Caputo–Hadamard terminal conditions is also considered and the ...
Muhammad Yaseen, Sadia Mumtaz, Reny George, Azhar Hussain   +3 more
doaj   +1 more source

The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect [PDF]

Advances in Difference Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source