Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions

By P. Thiramanus, Sotiris K. Ntouyas, Jessada Tariboon. 2014

47 citations recorded by the source corpus.

We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. Our results are based on some classical fixed point theorems. Some illustrative examples are also included.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5b2a198af7a8466dcc618d26083c037df1c2fbe3

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In Applied Mathematics

1. Sotiris K. Ntouyas
2. Bashir Ahmad
3. J. J. Nieto
4. Jinrong Wang
5. Yong Zhou
6. Ahmed Alsaedi
7. Gennaro Infante
8. Paolamaria Pietramala

In Modeling and Simulation

1. Sotiris K. Ntouyas
2. Bashir Ahmad
3. Ahmed Alsaedi
4. J. J. Nieto
5. Yong Zhou
6. Gennaro Infante
7. Jinrong Wang
8. Paolamaria Pietramala

In Numerical Analysis

1. Sotiris K. Ntouyas
2. Bashir Ahmad
3. Jinrong Wang
4. Yong Zhou
5. Ahmed Alsaedi
6. J. J. Nieto
7. Ravi P. Agarwal

Citations in the corpus

• Initial-value problems for hybrid Hadamard fractional differential equations (2014, background): “For some recent work on the topic , we refer to [2, 3, 12, 18, 19, 21] and the references cited therein.”