ورقة بحثية
Initial and Boundary Value Problems for Fractional Differential Equations Involving Atangana-Baleanu Derivative = معادلات تفاضلية كسرية ذات شروط ابتدائية وحدودية والتي تحتوي على مشتقة أتنجانا باليانو

Al Musalhi, Fatma S.


 

Initial and Boundary Value Problems for Fractional Differential Equations Involving Atangana-Baleanu Derivative = معادلات تفاضلية كسرية ذات شروط ابتدائية وحدودية والتي تحتوي على مشتقة أتنجانا باليانو

Al Musalhi, Fatma S.

In the present work, an initial value problem involving the Atangana-Baleanu derivative is considered. An explicit solution of the given problem in integral form is obtained by using the Laplace transform. The use of the given initial value problem is illustrated by considering a boundary value problem in which the solution is expressed in the form of a series expansion using an orthogonal basis obtained by separation of variables. Some examples are also given to illustrate the obtained results.

In the present work, an initial value problem involving the Atangana-Baleanu derivative is considered. An explicit solution of the given problem in integral form is obtained by using the Laplace transform. The use of the given initial value problem is illustrated by considering a boundary value prob...

مادة فرعية

المؤلف : Al Musalhi, Fatma S.

مؤلف مشارك : Al-Salti, Nasser S
Karimov, Erkinjon

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 2018مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Mathematics .

الرياضيات .

رقم الطبعة : 2

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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