[HTML][HTML] A unifying computational framework for novel estimates involving discrete fractional calculus approaches

S Rashid, YM Chu, J Singh, D Kumar - Alexandria Engineering Journal, 2021 - Elsevier
The aim of this paper is to evaluate the potential improvement of classification results in the
frame of discrete proportional fractional operator. The nonlocal kernel of the generalized …

Novel aspects of discrete dynamical type inequalities within fractional operators having generalized ℏ-discrete Mittag-Leffler kernels and application

S Rashid, S Sultana, Z Hammouch, F Jarad… - Chaos, Solitons & …, 2021 - Elsevier
Discrete fractional calculus (DFC) has had significant advances in the last few decades,
being successfully employed in the time scale domain ℏ Z. Understanding of DFC has …

[PDF][PDF] An existence results for a fractional differential equation with Φ-fractional derivative

M Beddani, B Hedia - Filomat, 2022 - doiserbia.nb.rs
In this article, we establish certain sufficient conditions to show the existence of solutions of a
fractional differential equation with the Φ-Riemann-Liouville and Φ-Caputo fractional …

[PDF][PDF] Upper-solution or lower-solution method for Langevin equations with n fractional orders

B Hamid - Filomat, 2021 - doiserbia.nb.rs
In this paper, we study a nonlinear Langevin equation involving n-parameter singular
fractional orders αi (i= 1, 2), and β with initial conditions. By means of an interesting fixed …

[PDF][PDF] Generalized proportional fractional integral inequalities for convex functions

MK Neamah, A Ibrahim - AIMS Mathematics, 2021 - pdfs.semanticscholar.org
In this paper, we establish some inequalities for convex functions by applying the
generalized proportional fractional integral. Some new results by using the linkage between …