[HTML][HTML] On Caputo-Hadamard fractional pantograph problem of two different orders with Dirichlet boundary conditions

AS Rafeeq, STM Thabet, MO Mohammed… - Alexandria Engineering …, 2024 - Elsevier
This manuscript aims to study the effectiveness of two different levels of fractional orders in
the frame of Caputo-Hadamard (CH)-derivatives on a special type class of delay problem …

An efficient numerical approach for solving three-point Lane–Emden–Fowler boundary value problem

J Shahni, R Singh, C Cattani - Mathematics and Computers in Simulation, 2023 - Elsevier
Abstract For three-point Lane–Emden–Fowler boundary value problems (LEFBVPs), we
propose two robust algorithms consisting of Bernstein and shifted Chebyshev polynomials …

[HTML][HTML] Existence results for Langevin equations involving generalized Liouville–Caputo fractional derivatives with non-local boundary conditions

S Dhaniya, A Kumar, A Khan, T Abdeljawad - Alexandria Engineering …, 2024 - Elsevier
The main objective of the present paper is to establish the existence and uniqueness (EU)
results for nonlinear fractional Langevin equation involving Liouville-Caputo generalized …

[PDF][PDF] Exact solutions and conservation laws of a new fourth-order nonlinear (3+ 1)-dimensional Kadomtsev-Petviashvili-like equation

CM Khalique, OD Adeyemo, I Mohapi - Appl. Math, 2024 - naturalspublishing.com
In this paper, we investigate an inclusive innovative fourth-order nonlinear Kadomtsev-
Petviashvili-like model, a threedimensional nonlinear partial differential equation. The focus …

On the solutions of a nonlinear system of q-difference equations

N Turan, M Başarır, A Şahin - Boundary Value Problems, 2024 - Springer
On the solutions of a nonlinear system of q-difference equations | Boundary Value Problems
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Existence and uniqueness of the solutions of the nonlinear impulse differential equations with nonlocal boundary conditions

YS Gasimov, H Jafari, MJ Mardanov… - Quaestiones …, 2022 - Taylor & Francis
In this paper the system of ordinary impulse differential equations with nonlocal conditions is
investigated. First, the boundary value problem is reduced to the equivalent integral …

Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator

U Baltaeva, Y Babajanova, P Agarwal… - Journal of Computational …, 2023 - Elsevier
In this paper, we study boundary value problems with an integral gluing condition for a
loaded equation of parabolic–hyperbolic type. The existence and uniqueness of the problem …

Existence and uniqueness of solutions for the nonlinear fractional differential equations with two-point and integral boundary conditions

Y Sharifov, SA Zamanova, RA Sardarova - European Journal of Pure …, 2021 - ejpam.com
In this paper the existence and uniqueness of solutions to the fractional differential
equations with two-point and integral boundary conditions is investigated. The Green …

Existence of Solutions to a Class of Nonlinear Arbitrary Order Differential Equations Subject to Integral Boundary Conditions

A Thakur, J Ali, R Rodríguez-López - Fractal and Fractional, 2021 - mdpi.com
We investigate the existence of positive solutions for a class of fractional differential
equations of arbitrary order δ> 2, subject to boundary conditions that include an integral …

Analysis of Two‐Dimensional Heat Transfer Problem Using the Boundary Integral Equation

NK Kebeba, GD Haifo - Advances in Mathematical Physics, 2022 - Wiley Online Library
In this paper, we examine the problem of two‐dimensional heat equations with certain initial
and boundary conditions being considered. In a two‐dimensional heat transport problem …