English

Existence and Uniqueness of Boundary Value Problems for Hilfer-Hadamard-Type Fractional Differential Equations

Analysis of PDEs 2018-03-13 v2
Authors: Ahmad Y. A. Salamooni , D. D. Pawar
View on arXiv ↗ PDF ↗

Abstract

In this paper, we used some theorems of fixed point for studying the results of Existence and Uniqueness For Hilfer-Hadamard-Type Fractional Differential Equations, HDα,βx(t)+f(t,x(t))=0,      on  the  interval  J:=(1,e]_{H}D^{\alpha,\beta}x(t)+f(t,x(t))=0, ~~~~~~ on~~the~~ interval~~ J:=(1,e] with Boundary Value Problems x(1+ϵ)=0,          HD1,1x(e)=ν HD1,1x(ζ)x(1+\epsilon)=0,~~~~~~~~~~_{H}D^{1,1}x(e)=\nu~_{H}D^{1,1}x(\zeta)

Keywords

fractional differential equations hilfer-hadamard type boundary value problems existence and uniqueness fixed point theorems

Cite

@article{arxiv.1801.10400,
  title  = {Existence and Uniqueness of Boundary Value Problems for Hilfer-Hadamard-Type Fractional Differential Equations},
  author = {Ahmad Y. A. Salamooni and D. D. Pawar},
  journal= {arXiv preprint arXiv:1801.10400},
  year   = {2018}
}

Comments

13 pages

Related papers

View all related →
Analysis of PDEs · Mathematics
Existence and Uniqueness of Nonlocal Boundary Conditions for Hilfer-Hadamard-Type Fractional Differential Equations
Ahmad Y. A. Salamooni, D. D. Pawar
2018-03-14
Classical Analysis and ODEs · Mathematics
Fractional Differential Equations with Periodic Boundary Conditions of Constant Ratio
Anwarrud Din, Shah Faisal
2016-12-13
General Mathematics · Mathematics
Existence of solution for Hilfer fractional differential equations with boundary value conditions
Mohammed S Abdo, S K Panchal, Sandeep P Bhairat
2019-10-01
Classical Analysis and ODEs · Mathematics
Existence of a unique positive solution for a singular fractional boundary value problem
E. T. Karimov, K. Sadarangani
2016-05-31
General Mathematics · Mathematics
Positive solution of Hilfer fractional differential equations with integral boundary conditions
Mohammed A. Malahi, Mohammed S. Abdo, Satish K. Panchal
2019-10-18
Classical Analysis and ODEs · Mathematics
Existence of solutions to discrete boundary value problem of fractional difference equations
Deepak B. Pachpatte, Arif S. Bagwan, Amol D. Khandagale
2020-04-01
Classical Analysis and ODEs · Mathematics
Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order $\mu\in(2,\,3)$
Naseer Ahmad Asif
2021-08-31
Classical Analysis and ODEs · Mathematics
Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions
Faouzi Haddouchi
2018-05-17
Analysis of PDEs · Mathematics
Positive solutions for fractional-order boundary value problems with or without dependence of integer-order ones
Inbo Sim, Satoshi Tanaka
2026-01-21
General Mathematics · Mathematics
A Short Note on Lyapunov Type Inequalities for Hilfer Fractional Boundary Value Problems
Jagan Mohan Jonnalagadda
2024-03-22
Classical Analysis and ODEs · Mathematics
A fixed-point approach for decaying solutions of difference equations
Zuzana Došlá, Mauro Marini, Serena Matucci
2025-04-18
Functional Analysis · Mathematics
Existence results in the theory of fractional hybrid di erential equations of fractional orders
Sh. M Al-Issa
2020-09-29
Classical Analysis and ODEs · Mathematics
Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator
Erdoğan Şen, Mehmet Acikgoz, Jong Jin Seo, Serkan Araci +1
2013-10-03
Analysis of PDEs · Mathematics
Existence and stability results for a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions
Faouzi Haddouchi, Mohammad Esmael Samei, Shahram Rezapour
2023-02-28
Classical Analysis and ODEs · Mathematics
Local existence and uniqueness of solutions for fractional differential problem with Hilfer-Hadamard fractional derivative
D B Dhaigude, Sandeep P Bhairat
2017-06-02
Numerical Analysis · Mathematics
Nonlinear fractional-periodic boundary value problems with Hilfer fractional derivative: existence and numerical approximations of solutions
Niels Goedegebure, Kateryna Marynets
2026-01-21
Analysis of PDEs · Mathematics
Existence and stability results for a coupled system of Hilfer fractional Langevin equation with non local integral boundary value conditions
Khalid Hilal, Ahmed Kajouni, Hamid Lmou
2022-06-16
Analysis of PDEs · Mathematics
Uniqueness of solution to boundary value problems for time-fractional wave equations
Paola Loreti, Daniela Sforza, Masahiro Yamamoto
2023-04-18
Dynamical Systems · Mathematics
Existence of solutions of $\alpha\in\left( 2,3\right] $ order fractional three point boundary value problems with integral conditions
N. I. Mahmudov, S. Unul
2014-04-15
Analysis of PDEs · Mathematics
A nonlocal fractional Helmholtz equation
Mokhtar Kirane, Batirkhan K. Turmetov, Berikbol T. Torebek
2018-02-06
Numerical Analysis · Mathematics
Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
Gianmarco Gurioli, Weijie Wang, Xiaoqiang Yan
2024-03-14
Classical Analysis and ODEs · Mathematics
Existence of solutions for $n^\mathrm{th}$-order nonlinear differential boundary value problems by means of new fixed point theorems
Alberto Cabada, Lorena Saavedra
2017-03-28
General Mathematics · Mathematics
Uniqueness and Stability of Solutions for a Coupled System of Nabla Fractional Difference Boundary Value Problems
Jagan Mohan Jonnalagadda
2022-03-09
General Mathematics · Mathematics
Existence Result for Difference Equations on Non-Uniform Grids via Upper and Lower Solution Method
Shalmali Bandyopadhyay, Kimser Lor
2025-08-08
Classical Analysis and ODEs · Mathematics
Existence results for boundary value problems associated with singular strongly nonlinear equations
Stefano Biagi, Alessandro Calamai, Francesca Papalini
2019-10-25