Existence of solutions for a system of singular sum fractional q-differential equations via quantum calculus

ME Samei - Advances in Difference Equations, 2020 - Springer
In this study, we discuss the existence of positive solutions for the system of m-singular sum
fractional q-differential equations D q α ixi+ gi (t, x 1,…, xm, D q γ 1 x 1,…, D q γ mxm)+ hi (t …

A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM

MS Rawashdeh - Advances in Difference Equations, 2017 - Springer
We propose a new method called the fractional reduced differential transform method
(FRDTM) to solve nonlinear fractional partial differential equations such as the space-time …

Existence and Global Exponential Stability of Pseudo Almost Periodic Solutions for Neutral Type Quaternion‐Valued Neural Networks with Delays in the Leakage …

Y Li, X Meng - Complexity, 2017 - Wiley Online Library
We propose a class of neutral type quaternion‐valued neural networks with delays in the
leakage term on time scales that can unify the discrete‐time and the continuous‐time neural …

New oscillation criteria of special type second-order non-linear dynamic equations on time scales

SS Negi, S Abbas, M Malik, YH Xia - Mathematical Sciences, 2018 - Springer
By the Riccati transformation technique, we study some new oscillatory properties for the
second-order dynamic equation on an arbitrary time scale TT We also establish the …

Kuratowski MNC method on a generalized fractional Caputo Sturm–Liouville–Langevin q-difference problem with generalized Ulam–Hyers stability

A Boutiara, M Benbachir, S Etemad… - Advances in Difference …, 2021 - Springer
In this work, we consider a generalized quantum fractional Sturm–Liouville–Langevin
difference problem with terminal boundary conditions. The relevant results rely on Mönch's …

A computation method of Hausdorff distance for translation time scales

C Wang, RP Agarwal, D O'Regan… - Applicable Analysis, 2020 - Taylor & Francis
In this paper, we propose a computation method of Hausdorff distance between an arbitrary
time scale and its translation (ie the endpoints approximation method or the EA method) and …

Existence and Uniqueness of Non-Negative Solution to a Coupled Fractional q-Difference System with Mixed q-Derivative via Mixed Monotone Operator Method

Y Meng, C He, R Ma, H Pang - Mathematics, 2023 - mdpi.com
In this paper, we study a nonlinear Riemann-Liouville fractional a q-difference system with
multi-strip and multi-point mixed boundary conditions under the Caputo fractional q …

[PDF][PDF] ALMOST PERIODIC SYNCHRONIZATION FOR COMPLEX-VALUED NEURAL NETWORKS WITH TIME-VARYING DELAYS AND IMPULSIVE EFFECTS ON …

L Dai, Z Li - neural networks, 2023 - jaac-online.com
We propose a class of complex-valued neural networks with timevarying delays and
impulsive effects on time scales. By employing the Banach fixed point theorem and …

Iterative Positive Solutions to a Coupled Riemann‐Liouville Fractional q‐Difference System with the Caputo Fractional q‐Derivative Boundary Conditions

Y Meng, X Du, H Pang - Journal of Function Spaces, 2023 - Wiley Online Library
This paper is devoted to the existence of positive solutions for a nonlinear coupled Riemann‐
Liouville fractional q‐difference system, with multistrip and multipoint mixed boundary …

On a system of q‐modified Laplace transform and its applications

A Kilicman, AK Sinha, S Panda - Mathematical Methods in the …, 2022 - Wiley Online Library
We introduce q‐modified Laplace transform and establish theoretical results. We also give
some applications of q‐modified Laplace transform for solving homogeneous and non …