scholarly journals Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Mengyan Cui ◽  
Yuke Zhu ◽  
Huihui Pang
Keyword(s):  
Boundary Conditions ◽  
Fractional Order ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Fractional Order Systems ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results

LINEAR ELLIPTIC PROBLEMS WITH MIXED BOUNDARY CONDITIONS RELATED TO RADIATION HEAT TRANSFER

2002 ◽  
Vol 12 (04) ◽  
pp. 541-565 ◽  
Author(s):  
MARIA MICHAELA PORZIO ◽  
ÓSCAR LÓPEZ-POUSO
Keyword(s):  
Boundary Conditions ◽  
Elliptic Equations ◽  
Mixed Boundary ◽  
Radiation Heat Transfer ◽  
Elliptic Problems ◽  
Mixed Boundary Conditions ◽  
Radiation Heat ◽  
Neumann Problems ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results

We prove the existence and uniqueness results for elliptic problems with L1 data and mixed boundary conditions which include as particular cases the Dirichlet and the Neumann problems. These elliptic equations are related to radiation heat trasfer.

scholarly journals On the Nonlocal Fractional Delta-Nabla Sum Boundary Value Problem for Sequential Fractional Delta-Nabla Sum-Difference Equations

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 476
Author(s):  
Jiraporn Reunsumrit ◽  
Thanin Sitthiwirattham
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Difference Equations ◽  
Existence And Uniqueness ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Banach Contraction ◽  
The Banach Contraction Principle

In this paper, we propose sequential fractional delta-nabla sum-difference equations with nonlocal fractional delta-nabla sum boundary conditions. The Banach contraction principle and the Schauder’s fixed point theorem are used to prove the existence and uniqueness results of the problem. The different orders in one fractional delta differences, one fractional nabla differences, two fractional delta sum, and two fractional nabla sum are considered. Finally, we present an illustrative example.

scholarly journals On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1899
Author(s):  
Ahmed Alsaedi ◽  
Amjad F. Albideewi ◽  
Sotiris K. Ntouyas ◽  
Bashir Ahmad
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Liouville Type ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results

In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’skii⏝’s fixed point theorems. Examples are included for the illustration of the obtained results.

scholarly journals A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Bashir Ahmad ◽  
Sotiris K. Ntouyas
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Existence And Uniqueness Results ◽  
New Class ◽  
Uniqueness Results ◽  
Separated Boundary Conditions ◽  
Fractional Differential

We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed.

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