Topological degree theory and Caputo–Hadamard fractional boundary value problems

A Amara, S Etemad, S Rezapour - Advances in Difference Equations, 2020 - Springer
We study two hybrid and non-hybrid fractional boundary value problems via the Caputo–
Hadamard type derivatives. We seek the existence criteria for these two problems …

Existence and uniqueness of solutions for generalized Sturm–Liouville and Langevin equations via Caputo–Hadamard fractional-order operator

IM Batiha, A Ouannas, R Albadarneh… - Engineering …, 2022 - emerald.com
Purpose This paper aims to investigate the existence and uniqueness of solution for
generalized Sturm–Liouville and Langevin equations formulated using Caputo–Hadamard …

[PDF][PDF] Existence criteria for fractional differential equations using the topological degree method

KS Nisar, S Alsaeed, K Kaliraj, C Ravichandran… - AIMS …, 2023 - aimspress.com
In this work, we analyze the fractional order by using the Caputo-Hadamard fractional
derivative under the Robin boundary condition. The topological degree method combined …

Existence results for Caputo–Hadamard nonlocal fractional multi-order boundary value problems

S Rezapour, SB Chikh, A Amara, SK Ntouyas… - Mathematics, 2021 - mdpi.com
In this paper, we studied the existence results for solutions of a new class of the fractional
boundary value problem in the Caputo–Hadamard settings. Moreover, boundary conditions …

Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method

K Kaliraj, KS Viswanath, K Logeswari… - International Journal of …, 2022 - Springer
In this work, we investigate the existence results of the integro-differential equation with the
Robin Boundary Condition (RBC). We establish some results to prove the existence using …

[PDF][PDF] On the Caputo-Hadamard fractional IVP with variable order using the upper-lower solutions technique

Z Bouazza, S Souhila, S Etemad, MS Souid, A Akgül… - AIMS Math, 2023 - researchgate.net
This paper studies the existence of solutions for Caputo-Hadamard fractional nonlinear
differential equations of variable order (CHFDEVO). We obtain some needed conditions for …

[PDF][PDF] New exploration of operators of fractional neutral integro-differential equations in Banach spaces through the application of the topological degree concept

SA Harisa, C Ravichandran, KS Nisar, N Faried… - AIMS Math, 2022 - aimspress.com
In this paper, we analyze the behavior of the neutral integro-differential equations of
fractional order including the Caputo-Hadamard fractional derivative. The results and …

Compact and noncompact solutions to generalized Sturm–Liouville and Langevin equation with Caputo–Hadamard fractional derivative

A Salem, N Mshary, M El-Shahed… - Mathematical …, 2021 - Wiley Online Library
In this work, through using the Caputo–Hadamard fractional derivative operator with three
nonlocal Hadamard fractional integral boundary conditions, a new type of the fractional …

[HTML][HTML] Analysis of nonlinear implicit coupled Hadamard fractional differential equations with semi-coupled Hadamard fractional integro-multipoints boundary …

U Riaz, A Zada, I Khan, MMI Mohamed… - Ain Shams Engineering …, 2023 - Elsevier
The study is devoted to demonstrating the hypothesis necessary for the existence,
uniqueness and at least one solution of implicit Hadamard fractional differential equations …

A method for solving Caputo–Hadamard fractional initial and boundary value problems

U Saeed - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this article, we proposed a method by generalizing the classical CAS wavelets for the
approximate solutions of nonlinear fractional Caputo–Hadamard initial and boundary value …