How Long to Read q-Fractional Calculus and Equations

How Long Does it Take to Read q-Fractional Calculus and Equations?

It takes the average reader 5 hours and 28 minutes to read q-Fractional Calculus and Equations by Mahmoud H. Annaby

Assuming a reading speed of 250 words per minute. Learn more

Description

This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson’s type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm–Liouville theory is also introduced; Green’s function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann–Liouville; Grünwald–Letnikov; Caputo; Erdélyi–Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin–Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman’s results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated.

How long is q-Fractional Calculus and Equations?

q-Fractional Calculus and Equations by Mahmoud H. Annaby is 318 pages long, and a total of 82,044 words.

This makes it 107% the length of the average book. It also has 100% more words than the average book.

How Long Does it Take to Read q-Fractional Calculus and Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 28 minutes to read q-Fractional Calculus and Equations aloud.

What Reading Level is q-Fractional Calculus and Equations?

q-Fractional Calculus and Equations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy q-Fractional Calculus and Equations?

q-Fractional Calculus and Equations by Mahmoud H. Annaby is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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