On Riemann-Stieltjes integral boundary value problems of Caputo-Riemann-Liouville type fractional integro-differential equations

Under different criteria, we prove the existence and uniqueness of solutions for a Riemann-Stieltjes integro-multipoint boundary value problem of Caputo-Riemann-Liouville type fractional integrodifferential equations. Our results rely on the modern methods of functional analysis and are well-illustrated with the help of examples. Some interesting observations are also presented.

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Existence and uniqueness results for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations

Asian-European Journal of Mathematics ◽

10.1142/s1793557122501558 ◽

2021 ◽

Author(s):

Mohamed I. Abbas

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Fractional Differential Equations ◽

Existence And Uniqueness ◽

Boundary Value ◽

Stieltjes Integral ◽

Integral Boundary ◽

Hadamard Fractional Differential Equations ◽

Fractional Differential ◽

Integral Boundary Value Problems

In this paper, we study the existence and uniqueness of solutions for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations. The investigation of the main results depends on Schauder’s fixed point theorem and Banach’s contraction principle. An illustrative example is given to show the applicability of theoretical results.

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Existence results for nonlinear impulsive qk-integral boundary value problems

Publications de l Institut Mathematique ◽

10.2298/pim1613227z ◽

2016 ◽

Vol 99 (113) ◽

pp. 227-235 ◽

Cited By ~ 1

Author(s):

Lihong Zhang ◽

Bashir Ahmad ◽

Guotao Wang

Keyword(s):

Existence And Uniqueness ◽

Contraction Mapping ◽

Boundary Value ◽

Degree Theory ◽

Contraction Mapping Principle ◽

Existence Results ◽

Uniqueness Of Solutions ◽

Integral Boundary ◽

Integral Boundary Value Problem ◽

Integral Boundary Value Problems

We investigate a nonlinear impulsive qk-integral boundary value problem by means of Leray-Schauder degree theory and contraction mapping principle. The conditions ensuring the existence and uniqueness of solutions for the problem are presented. An illustrative example is discussed.

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Existence Results for Nonlocal Multi-Point and Multi-Term Fractional Order Boundary Value Problems

Axioms ◽

10.3390/axioms9020070 ◽

2020 ◽

Vol 9 (2) ◽

pp. 70 ◽

Cited By ~ 1

Author(s):

Bashir Ahmad ◽

Najla Alghamdi ◽

Ahmed Alsaedi ◽

Sotiris K. Ntouyas

Keyword(s):

Boundary Value Problems ◽

Existence And Uniqueness ◽

Fixed Point Theorems ◽

Boundary Value ◽

Existence Results ◽

Uniqueness Of Solutions ◽

Integral Boundary ◽

New Class ◽

Fractional Differential ◽

Integral Boundary Value Problems

In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and integral boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples.

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