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Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems

Journal of Function Spaces, 2021
This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions.
Chanon Promsakon, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
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Existence and Uniqueness for Coupled Systems of Hilfer Type Sequential Fractional Differential Equations Involving Riemann–Stieltjes Integral Multistrip Boundary Conditions

Journal of Mathematics, 2022
In this paper, we study a coupled system of Hilfer type sequential fractional differential equations supplemented with Riemann–Stieltjes integral multistrip boundary conditions.
Ayub Samadi, Sotiris K. Ntouyas, Suphawat Asawasamrit, Jessada Tariboon   +3 more
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Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions

Axioms, 2021
In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with ...
Suphawat Asawasamrit, Yasintorn Thadang, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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Some results on quantum Hahn integral inequalities

Journal of Inequalities and Applications, 2019
In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit, Chayapat Sudprasert, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions

Advances in Difference Equations, 2018
In this paper, we discuss the existence and uniqueness of solutions for two new classes of sequential fractional differential equations of Riemann–Liouville and Caputo types with generalized fractional integral boundary conditions, by using standard ...
Chanon Promsakon, Nawapol Phuangthong, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +1 more source

Mixed-order impulsive ordinary and fractional differential equations with initial conditions

Advances in Difference Equations, 2019
In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects.
Suphawat Asawasamrit, Yasintorn Thadang, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions

Advances in Difference Equations, 2017
In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference operators and a Hahn integral. The existence and uniqueness
Umaphon Sriphanomwan, Jessada Tariboon, Nichaphat Patanarapeelert, Sotiris K Ntouyas, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

An Existence Result for ψ-Hilfer Fractional Integro-Differential Hybrid Three-Point Boundary Value Problems

Fractal and Fractional, 2021
In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with three-point boundary conditions.
Chanakarn Kiataramkul, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
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Integral inequalities via fractional quantum calculus

Journal of Inequalities and Applications, 2016
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad, Sotiris K Ntouyas, Jessada Tariboon   +2 more
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Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

Open Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon, Ntouyas Sotiris K., Asawasamrit Suphawat, Promsakon Chanon   +3 more
doaj   +1 more source