scholarly journals Existence of solutions to discrete boundary value problem of fractional difference equations

2020 ◽  
Vol 8 (3) ◽  
pp. 832-837
Author(s):  
B. Pachpatte Deepak ◽  
S. Bagwan Arif ◽  
D. Khandagale Amol
Keyword(s):  
Boundary Value Problem ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Fractional Difference ◽  
Discrete Boundary Value Problem ◽  
Fractional Difference Equations

scholarly journals Existence and Ulam Stability of Solutions for Discrete Fractional Boundary Value Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Fulai Chen ◽  
Yong Zhou
Keyword(s):  
Boundary Value Problem ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Ulam Stability ◽  
Stability Of Solutions ◽  
Fractional Boundary Value Problem ◽  
Fractional Difference ◽  
Fractional Difference Equations

We discuss the existence of solutions for antiperiodic boundary value problem and the Ulam stability for nonlinear fractional difference equations. Two examples are also provided to illustrate our main results.

scholarly journals Boundary Value Problems for Fourth Order Nonlinearp-Laplacian Difference Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Qinqin Zhang
Keyword(s):  
Difference Equation ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Mountain Pass ◽  
Mountain Pass Lemma

We consider the boundary value problem for a fourth order nonlinearp-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.

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